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.
Related projects:	Oscillatory and asymptotic properties of solutions of differential equations