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Existence theory for functional $$p$$-Laplacian equations with variable exponents. (English) Zbl 1029.34018
The authors consider the solvability of functional $$p$$-Laplacian equations subjected to general boundary conditions, which include as particular cases the Dirichlet and periodic conditions, and also cover a wide class of nonlinear conditions as well a functional ones. The existence of solutions to problems with bounded nonlinear parts is proved. Illustrative examples are presented, too.

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations
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##### References:
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