On some boundary value problems for second order nonlinear differential equations

Warning

This publication doesn't include Faculty of Sports Studies. It includes Faculty of Science. Official publication website can be found on muni.cz.

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