On some boundary value problems for second order nonlinear differential equations

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Authors

DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena

Year of publication 2012
Type Article in Periodical
Magazine / Source Math. Bohemica
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Boundary value problem; p-Laplacian; half-linear equation; positive solution; uniqueness; decaying solution; principal solution
Description We investigate two boundary value problems for the second order differential equation with $p$-Laplacian. We give necessary and sufficient conditions which guarantee the existence of a unique (or at least one) positive solution, satisfying certain boundary conditions.
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