Displaying similar documents to “On boundary value problems for n -th order functional differential equations with impulses.”

Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line

Hugo Carrasco, Feliz Minhós (2017)

Commentationes Mathematicae Universitatis Carolinae

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This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.

Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type

Milena Matusik (2012)

Annales Polonici Mathematici

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The paper deals with the initial boundary value problem of Robin type for parabolic functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in the classical sense. A theorem on the existence of a classical solution is proved. Our formulation and results cover differential equations with deviated variables and differential integral problems.