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Initial boundary value problems are investigated for the considered physical system of differential equations in piecewise- homogeneous media with boundary and contact conditions;

Functional boundary value problem, existence, Leray- Schauder degree, Borsuk theorem, α -condensing operator.. 1991 Mathematics

Recently, by means of the Leray-Schauder alternative for con- vex valued multivalued maps and a fixed point theorem due to Martelli for condensing multivalued maps existence, results

Nkashama, Periodic boundary value problems and monotone iterative method for functional differential equations , Nonlinear Anal.. 23

The Schauder Fixed Point Theorem is, undoubtedly, one of the most impor- tant theorems of nonlinear analysis.. Theorem 1.1 (Schauder) Let M be a nonempty closed bounded convex sub-

Wang, Multiple positive solutions of boundary value problems for systems of nonlinear second order differential equations, J.. Infante, Eigenvalues of some nonlocal boundary

Some authors have used fixed point the- orems to show the existence of positive solutions to boundary value problems for ordinary differential equations, difference equations,

Keywords: Existence and uniqueness; positive solution; fixed point theorem of generalized concave operators; Neumann boundary value problem; second order impulsive