Geodesic
Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 15-24

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DOI

We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
DOI : 10.4064/ap-72-1-15-24
Keywords: method of lower and upper functions, infinite systems of parabolic differential-functional equations, monotone iterative method 
Stanisław Brzychczy. Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations. Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 15-24. doi: 10.4064/ap-72-1-15-24
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