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Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals

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Mavridis K.

Annales Polonici Mathematici

2014

tom 112

nr 3

313-327

We give conditions which guarantee the existence of positive solutions for a variety of arbitrary order boundary value problems for which all boundary conditions involve functionals, using the well-known Krasnosel'skiĭ fixed point theorem. The conditions presented here deal with a variety of problems, which correspond to various functionals, in a uniform way. The applicability of the results obtained is demonstrated by a numerical application.

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1 Annales Polonici Mathematici

1 Mavridis K.

1 2014

Wyniki wyszukiwania

Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals