Generalized Cauchy problems for hyperbolic functional differential systems

Elżbieta Puźniakowska-Gałuch

Displaying similar documents to “Generalized Cauchy problems for hyperbolic functional differential systems”

Semilinear hyperbolic functional equations

László Simon (2014)

Banach Center Publications

Similarity:

We consider second order semilinear hyperbolic functional differential equations where the lower order terms contain functional dependence on the unknown function. Existence and uniqueness of solutions for t ∈ (0,T), existence for t ∈ (0,∞) and some qualitative properties of the solutions in (0,∞) are shown.

On the existence and uniqueness of solutions of the Goursat problem for systems of functional partial differential equations of hyperbolic type.

Grigolia, M. (1999)

Memoirs on Differential Equations and Mathematical Physics

Similarity:

Remark on the Cauchy functional equation.

Svetozar Kurepa (1965)

Publications de l'Institut Mathématique [Elektronische Ressource]

Similarity:

Existence of solutions of functional-differential inclusion in nonconvex case

Andrzej Fryszkowski (1985)

Annales Polonici Mathematici

Similarity:

On existence and uniqueness of solutions of nonlocal problems for hyperbolic differential-functional equations in two independent variables

Tomasz Człapiński (1997)

Annales Polonici Mathematici

Similarity:

We seek for classical solutions to hyperbolic nonlinear partial differential-functional equations of the second order. We give two theorems on existence and uniqueness for problems with nonlocal conditions in bounded and unbounded domains.

On a functional equation related to the Cauchy equation

Pl. Kannappan, M. Kuczma (1974)

Annales Polonici Mathematici

Similarity:

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:

On the question of enclosing solutions of linear functional-differential systems.

Maksimov, V.P., Munembe, J.S.P. (1997)

Memoirs on Differential Equations and Mathematical Physics

Similarity:

On the hyperbolic linear functional equations.

István Fenyö (1987)

Aequationes mathematicae

Similarity:

On the stabiltiy of a system of functional equations characterizing generalize hyperbolic and trigonometric functions.

Jens Schwaiger, Wolfgang Förg-Rob (1993)

Aequationes mathematicae

Similarity:

On solutions of a functional equation of order r in a special class of functions

T. Jankowski (1983)

Matematički Vesnik

Similarity:

On the existence and uniqueness of the solution of a non-linear functional equation of r-th order

Marian Kwapisz (1977)

Annales Polonici Mathematici

Similarity:

Existence and uniqueness of solutions of non-linear functional equations of r-th order

M. Kwapisz, J. Turo (1975)

Annales Polonici Mathematici

Similarity:

On the existence and uniqueness of solutions of a certain integral-functional equation

Marian Kwapisz (1975)

Annales Polonici Mathematici

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...