On some boundary value problems for second order nonlinear differential equations
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Math. Bohemica |
| MU Faculty or unit | |
| 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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