Geodesic
Existence results for implicit differential equations
Mathematica slovaca, Tome 48 (1998) no. 1, pp. 35-42
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34A09, 47H05, 47H11 
@article{MASLO_1998_48_1_a2,
     author = {Fe\v{c}kan, Michal},
     title = {Existence results for implicit differential equations},
     journal = {Mathematica slovaca},
     pages = {35--42},
     year = {1998},
     volume = {48},
     number = {1},
     mrnumber = {1635231},
     zbl = {0942.34005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1998_48_1_a2/}
}
TY  - JOUR
AU  - Fečkan, Michal
TI  - Existence results for implicit differential equations
JO  - Mathematica slovaca
PY  - 1998
SP  - 35
EP  - 42
VL  - 48
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_1998_48_1_a2/
LA  - en
ID  - MASLO_1998_48_1_a2
ER  - 
%0 Journal Article
%A Fečkan, Michal
%T Existence results for implicit differential equations
%J Mathematica slovaca
%D 1998
%P 35-42
%V 48
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_1998_48_1_a2/
%G en
%F MASLO_1998_48_1_a2
Fečkan, Michal. Existence results for implicit differential equations. Mathematica slovaca, Tome 48 (1998) no. 1, pp. 35-42. http://geodesic.mathdoc.fr/item/MASLO_1998_48_1_a2/

[1] BERGER M. S.: Nonlinearity and Functional Analysis. Academic Press, New York, 1977. | MR | Zbl

[2] BERKOVITS J.-MUSTONEN V.: An extension of Leray-Schauder degree and applications to nonlinear wave equations. Differential Integral Equations 3 (1990), 945-963. | MR | Zbl

[3] BIELAWSKI R.-GORNIEWICZ L.: A fixed point index approach to some differential equations. In: Proc. Conf. Topological Fixed Point Theory and Appl. (Boju Jiang, Ed.). Lecture Notes in Math. 1411, Springer-Verlag, New York, 1989, pp. 9-14. | MR | Zbl

[4] DEIMLING K.: Nonlinear Functional Analysis. Springer-Verlag, Berlin, 1985. | MR | Zbl

[5] ERBE L. H.-KRAWCEWICZ W.-KACZYNSKI T.: Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form y" = 9(t,y,y'>y"). Rocky Mountain J. Math. 20 (1990), 899-907. | MR

[6] FEČKAN M.: Nonnegative solutions of nonlinear integral equations. Comment. Math. Univ. Carolin. 36 (1995), 615-627. | MR | Zbl

[7] FEČKAN M.: On the existence of solutions of nonlinear equations. Proc. Amer. Math. Soc. 124 (1996), 1733-1742. | MR | Zbl

[8] FRIGON M.-KACZYNSKI T.: Boundary value problems for systems of implicit differential equations. J. Math. Anal. Appl. 179 (1993), 317-326. | MR | Zbl

[9] PETRYSHYN W. V.: Solvability of various boundary value problems for the equation x" = f(t,x,x',xn) - y. Pacific J. Math. 122 (1986), 169-195. | MR

[10] PETRYSHYN W. V.-YU Z. S.: On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit. Nonlinear Anal. 9 (1985), 969-975. | MR | Zbl

[11] PETRYSHYNW V.-YU Z. S.: Solvability of Neumann bv problems for nonlinear second-order odes which need not be solvable for the highest-order derivative. J. Math. Anal. Appl. 91 (1983), 244-253. | MR

[12] RICCERI B.: On the Cauchy problem for the differential equation f(t,x,x',\ldots, x^{(k)}) = 0$. Glasgow Math. J. 33 (1991), 343-348. | MR

[13] SCHNEIDER K. R.: Existence and approximation results to the Cauchy problem for a class of differential-algebraic equations. Z. Anal. Anwendungen 10 (1991), 375-384. | MR | Zbl

[14] WEBB J. R. L.-WELSH S. C.: Existence and uniqueness of initial value problems for a class of second-order differential equations. J. Differential Equations 82 (1989), 314-321. | MR | Zbl