Geodesic

Tome 2003 (2003)

Sommaire

The heat equation and the shrinking
A remark on the existence of large solutions via sub and supersolutions
Multi-point boundary-value problems for the p-Laplacian at resonance
Periodic solutions for neutral nonlinear differential equations with functional delay
The eddy current problem with temperature dependent permeability
Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions
SDDEs limits solutions to sublinear reaction-diffusion SPDEs
On integral inequalities for functions of several independent variables
Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces
Exponential stability of linear and almost periodic systems on Banach spaces
Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients
Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature. II
Uniform stabilization for the Timoshenko beam by a locally distributed damping
Centering conditions for planar septic systems
Positive solutions for indefinite inhomogeneous Neumann elliptic problems
Nash-Moser techniques for nonlinear boundary-value problems
An abstract approach to some spectral problems of direct sum differential operators
A new theorem on exponential stability of periodic evolution families on Banach spaces
Stability of the interface between two immiscible fluids in porous media
Shigesada-Kawasaki-Teramoto model on higher dimensional domains
Minimal and maximal solutions for two-point boundary-value problems
A comparison principle for an American option on several assets: index and spread options
Multiple positive solutions for a class of quasilinear elliptic boundary-value problems
Multidimensional singular \(\lambda\)-lemma
Radial minimizer of a variant of the \(p\)-Ginzburg-Landau functional
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains
Remarks on semilinear problems with nonlinearities depending on the derivative
Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds
Optimal control for a nonlinear age-structured population dynamics model
Hardy inequalities with boundary terms
Evolution of fluid-fluid interface in porous media as the model of gas-oil fields
Existence of solutions to higher-order discrete three-point problems
Energy decay estimates for Lienard's equation with quadratic viscous feedback
Non-autonomous retarded differential equations: the variation of constants formulas and the asymptotic behaviour
Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition
On \(\Gamma\)-convergence for problems of jumping type
Weak solutions for the \(p\)-Laplacian with a nonlinear boundary condition at resonance
Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons
Existence and uniqueness of the solution to a 3D thermoviscoelastic system
Existence of positive solutions for two nonlinear eigenvalue problems
Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem
Blow-up for p-Laplacian parabolic equations
Geometric properties of solutions to maximization problems
Approximations of solutions to nonlinear Sobolev type evolution equations
Magnetic barriers of compact support and eigenvalues in spectral gaps
Singular solutions to Protter's problem for the 3-D wave equation involving lower order terms
Concentration and dynamic system of solutions for semilinear elliptic equations
Existence of positive solutions for Dirichlet problems of some singular elliptic equations
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
A multiplicity result for a class of superquadratic Hamiltonian systems
Global attractors for a class of degenerate diffusion equations
Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
Homogenization of nonlinear monotone operators beyond the periodic setting
An existence theorem for Volterra integrodifferential equations with infinite delay
Travelling waves for a neural network
A discontinuous problem involving the \(p\)-Laplacian operator and critical exponent in \(\mathbb R^N\)
Initial boundary value problems for second order impulsive functional differential inclusions
On the composition conjectures
Remarks on least energy solutions for quasilinear elliptic problems in \(\mathbb R^N\)
On the instability of solitary-wave solutions for fifth-order water wave models
Non-classical phase transitions at a sonic point
Stability of peakons for the generalized Camassa-Holm equation
Order and hyper-order of entire solutions of linear differential equations with entire coefficients
Blow up of solutions to semilinear wave equations
Analytical solution of linear ordinary differential equations by differential transfer matrix method
Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry
Convergence and periodicity in a delayed network of neurons with threshold nonlinearity
Oscillation for equations with positive and negative coefficients and distributed delay. II: Applications
Positive solutions of boundary value problems for \(2m\)-order differential equations
Existence of positive solutions for some polyharmonic nonlinear boundary-value problems
Nonlinear singular Navier problem of fourth order
Life span of nonnegative solutions to certain quasilinear parabolic Cauchy problems
Solutions for a hyperbolic system with boundary differential inclusion and nonlinear second-order boundary damping
On \(2\times 2\) systems of conservation laws with fluxes that are entropies
The generalized Airy diffusion equation
Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry
A nonlocal mixed semilinear problem for second-order hyperbolic equations
Two convergence results for continuous descent methods
Semi-linearized compressible Navier-Stokes equations perturbed by noise
Positive solutions of a three-point boundary-value problem on a time scale
Existence of solutions for a class of elliptic systems in \(\mathbb R^N\) involving the p-Laplacian
Multiple solutions for nonresonance impulsive functional differential equations
Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices
On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer
Boundary-value problems for first and second order functional differential inclusions
Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions
The Kolmogorov equation with time-measurable coefficients
Generalized solutions to parabolic-hyperbolic equations
Heteroclinic points of multi-dimensional dynamical systems
On the result of He concerning the smoothness of solutions to the Navier-Stokes equations
Weak solutions for a viscous \(p\)-Laplacian equation
Synchronization of nonautonomous dynamical systems
Estimates for critical groups of solutions to quasilinear elliptic systems
An \(\varepsilon\)-regularity result for generalized harmonic maps into spheres
Analytic solution to a class of integro-differential equations
Solution to a semilinear problem on type II regions determined by the Fučik spectrum
Some integral inequalities for functions of two variables
Existence of solutions to a second order partial differential equation with nonlocal conditions
\(L^1\) singular limit for relaxation and viscosity approximations of extended traffic flow models
The heat equation and the shrinking
A remark on the existence of large solutions via sub and supersolutions
Multi-point boundary-value problems for the p-Laplacian at resonance
Periodic solutions for neutral nonlinear differential equations with functional delay
The eddy current problem with temperature dependent permeability
Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions
SDDEs limits solutions to sublinear reaction-diffusion SPDEs
On integral inequalities for functions of several independent variables
Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces
Exponential stability of linear and almost periodic systems on Banach spaces
Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients
Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature. II
Uniform stabilization for the Timoshenko beam by a locally distributed damping
Centering conditions for planar septic systems
Positive solutions for indefinite inhomogeneous Neumann elliptic problems
Nash-Moser techniques for nonlinear boundary-value problems
An abstract approach to some spectral problems of direct sum differential operators
A new theorem on exponential stability of periodic evolution families on Banach spaces
Stability of the interface between two immiscible fluids in porous media
Shigesada-Kawasaki-Teramoto model on higher dimensional domains
Minimal and maximal solutions for two-point boundary-value problems
A comparison principle for an American option on several assets: index and spread options
Multiple positive solutions for a class of quasilinear elliptic boundary-value problems
Multidimensional singular \(\lambda\)-lemma
Radial minimizer of a variant of the \(p\)-Ginzburg-Landau functional
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains
Remarks on semilinear problems with nonlinearities depending on the derivative
Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds
Optimal control for a nonlinear age-structured population dynamics model
Hardy inequalities with boundary terms
Evolution of fluid-fluid interface in porous media as the model of gas-oil fields
Existence of solutions to higher-order discrete three-point problems
Energy decay estimates for Lienard's equation with quadratic viscous feedback
Non-autonomous retarded differential equations: the variation of constants formulas and the asymptotic behaviour
Asymptotic behavior for a heat conduction problem with perfect-contact boundary condition
On \(\Gamma\)-convergence for problems of jumping type
Weak solutions for the \(p\)-Laplacian with a nonlinear boundary condition at resonance
Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons
Existence and uniqueness of the solution to a 3D thermoviscoelastic system
Existence of positive solutions for two nonlinear eigenvalue problems
Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem
Blow-up for p-Laplacian parabolic equations
Geometric properties of solutions to maximization problems
Approximations of solutions to nonlinear Sobolev type evolution equations
Magnetic barriers of compact support and eigenvalues in spectral gaps
Singular solutions to Protter's problem for the 3-D wave equation involving lower order terms
Concentration and dynamic system of solutions for semilinear elliptic equations
Existence of positive solutions for Dirichlet problems of some singular elliptic equations
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
A multiplicity result for a class of superquadratic Hamiltonian systems
Global attractors for a class of degenerate diffusion equations
Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
Homogenization of nonlinear monotone operators beyond the periodic setting
An existence theorem for Volterra integrodifferential equations with infinite delay
Travelling waves for a neural network
A discontinuous problem involving the \(p\)-Laplacian operator and critical exponent in \(\mathbb R^N\)
Initial boundary value problems for second order impulsive functional differential inclusions
On the composition conjectures
Remarks on least energy solutions for quasilinear elliptic problems in \(\mathbb R^N\)
On the instability of solitary-wave solutions for fifth-order water wave models
Non-classical phase transitions at a sonic point
Stability of peakons for the generalized Camassa-Holm equation
Order and hyper-order of entire solutions of linear differential equations with entire coefficients
Blow up of solutions to semilinear wave equations
Analytical solution of linear ordinary differential equations by differential transfer matrix method
Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry
Convergence and periodicity in a delayed network of neurons with threshold nonlinearity
Oscillation for equations with positive and negative coefficients and distributed delay. II: Applications
Positive solutions of boundary value problems for \(2m\)-order differential equations
Existence of positive solutions for some polyharmonic nonlinear boundary-value problems
Nonlinear singular Navier problem of fourth order
Life span of nonnegative solutions to certain quasilinear parabolic Cauchy problems
Solutions for a hyperbolic system with boundary differential inclusion and nonlinear second-order boundary damping
On \(2\times 2\) systems of conservation laws with fluxes that are entropies
The generalized Airy diffusion equation
Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry
A nonlocal mixed semilinear problem for second-order hyperbolic equations
Two convergence results for continuous descent methods
Semi-linearized compressible Navier-Stokes equations perturbed by noise
Positive solutions of a three-point boundary-value problem on a time scale
Existence of solutions for a class of elliptic systems in \(\mathbb R^N\) involving the p-Laplacian
Multiple solutions for nonresonance impulsive functional differential equations
Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices
On the behavior of the interface separating fresh and salt groundwater in a heterogeneous coastal aquifer
Boundary-value problems for first and second order functional differential inclusions
Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions
The Kolmogorov equation with time-measurable coefficients
Generalized solutions to parabolic-hyperbolic equations
Heteroclinic points of multi-dimensional dynamical systems
On the result of He concerning the smoothness of solutions to the Navier-Stokes equations
Weak solutions for a viscous \(p\)-Laplacian equation
Synchronization of nonautonomous dynamical systems
Estimates for critical groups of solutions to quasilinear elliptic systems
An \(\varepsilon\)-regularity result for generalized harmonic maps into spheres
Analytic solution to a class of integro-differential equations
Solution to a semilinear problem on type II regions determined by the Fučik spectrum
Some integral inequalities for functions of two variables
Existence of solutions to a second order partial differential equation with nonlocal conditions
\(L^1\) singular limit for relaxation and viscosity approximations of extended traffic flow models