On the Vallée-Poussin problem for singular differential equations with deviating arguments

Ivan Kiguradze; Bedřich Půža

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Displaying similar documents to “On the Vallée-Poussin problem for singular differential equations with deviating arguments”

On a multipoint boundary value problem for linear ordinary differential equations with singularities

G. D. Tskhovrebadze (1994)

Archivum Mathematicum

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A criterion for the unique solvability of and sufficient conditions for the correctness of the modified Vallèe-Poussin problem are established for the linear ordinary differential equations with singularities.

On a criterion for the existence of at least four solutions of functional boundary value problems

Staněk, Svatoslav (1997)

Archivum Mathematicum

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A class of functional boundary conditions for the second order functional differential equation $x^{''} (t) = (F x) (t)$ is introduced. Here $F : C^{1} (J) \to L_{1} (J)$ is a nonlinear continuous unbounded operator. Sufficient conditions for the existence of at least four solutions are given. The proofs are based on the Bihari lemma, the topological method of homotopy, the Leray-Schauder degree and the Borsuk theorem.