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Existence of generalized solutions of hyperbolic functional differential equations

โœ Scribed by P. Brandi; A. Salvadori; Zdzislaw Kamont


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
166 KB
Volume
50
Category
Article
ISSN
0362-546X

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Under suitable conditions on f(t, yt (0)), the boundary value problem of second-order functional differential equation (FDE) with the form: ( ~y(t) + 5y'(t) = ~(t), for t E [1, 1 + a], (BVP) has at least one positive solution. Moreover, we also apply this main result to establish several existence

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## Abstract Nonlinear hyperbolic functional differential equations with initial boundary conditions are considered. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is based