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In this paper we prove the existence and the uniqueness of classical solution of non-autonomous inhomogeneous boundary Cauchy problems, this solution is given by a variation

In the paper we treat the uniqueness theorems of basic and mixed type exterior boundary value problems (BVPs) for equations of two-dimensional steady-state elastic oscillations

An asymptotic matrix solution is formulated for a class of mixed-type linear vector equations with a single variable deviation which is small at infinity.. This matrix

In this paper we prove the uniqueness of bounded solutions to a viscous diffusion equation based on approximate Holmgren’s approach.. Key words and phrases: Holmgren’s

Furumochi, Asymptotic behavior of solutions of functional differential equations by fixed point theorems , Dynamic Systems and Applications 11(2002), 499-521.

The following fixed point theorem for the nonlinear contraction is well-known and useful for proving the existence and the uniqueness theorems for the nonlinear differ- ential

In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a

We prove some theorems relating algebraic properties of the annihilating ideal of a pair of non-unitary commuting contractions with the existence of common invariant subspaces.. We