Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions

Eduardo Hernández M.; Hernán R. Henríquez

Displaying similar documents to “Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions”

Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions

Hernán R. Henríquez, Eduardo Hernández M. (2006)

Annales Polonici Mathematici

Similarity:

We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.

On a functional equation related to the Cauchy equation

Pl. Kannappan, M. Kuczma (1974)

Annales Polonici Mathematici

Similarity:

The Kneser property for the abstract Cauchy problem

Hernán R. Henríquez, Genaro Castillo G. (2003)

Annales Polonici Mathematici

Similarity:

We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.

On the Cauchy problem for linear partial differential-functional equations of first order

Z. Kamont (1977)

Annales Polonici Mathematici

Similarity:

Cauchy's functional equation on a restricted domain

Marek Kuczma (1973)

Colloquium Mathematicae

Similarity:

Solution of Cauchy's functional equation on a restricted domain

Józef Tabor (1975)

Colloquium Mathematicae

Similarity:

Uniqueness criterion for solution of abstract nonlocal Cauchy problem.

Byszewski, L. (1993)

Journal of Applied Mathematics and Stochastic Analysis

Similarity:

On a mild solution of a semilinear functional-differential evolution nonlocal problem.

Byszewski, Ludwik, Akca, Haydar (1997)

Journal of Applied Mathematics and Stochastic Analysis

Similarity:

Existence of solutions of functional-differential inclusion in nonconvex case

Andrzej Fryszkowski (1985)

Annales Polonici Mathematici

Similarity:

Remark on the Cauchy functional equation.

Svetozar Kurepa (1965)

Publications de l'Institut Mathématique [Elektronische Ressource]

Similarity:

On the Cauchy Problem for the Kadomstev-Petviashvili Equation.

J. Bourgain (1993)

Geometric and functional analysis

Similarity:

Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.

Byszewski, Ludwik (1999)

Journal of Applied Mathematics and Stochastic Analysis

Similarity:

Generating solutions of some Cauchy and cosine functional equations.

Maciej Sablik (1987)

Aequationes mathematicae

Similarity:

Functional differential equations of the Cauchy-Kowalewsky type.

Wolfgang Walter (1985)

Aequationes mathematicae

Similarity:

Almost-periodic mild solutions to a class of partial functional-differential equations.

Aulbach, Bernd, Nguyen Van Minh (1998)

Abstract and Applied Analysis

Similarity:

On the local Cauchy problem for first order partial differential functional equations

Elżbieta Puźniakowska-Gałuch (2010)

Annales Polonici Mathematici

Similarity:

A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can...