Solvability of three-point boundary value problems at resonance with a \(p\)-Laplacian on finite and infinite intervals. (English) Zbl 1261.34025

Lian, Hairong; Wong, Patricia J. Y.; Yang, Shu

Abstr. Appl. Anal. 2012, Article ID 658010, 16 p. (2012).

Summary: Three-point boundary value problems for second-order differential equation with a \(p\)-Laplacian on finite and infinite intervals are investigated. By using a new continuation theorem, sufficient conditions are given, under resonance conditions, to guarantee the existence of solutions to such boundary value problems with a nonlinear term involving the first-order derivative explicitly.

MSC:

34B10	Nonlocal and multipoint boundary value problems for ordinary differential equations
34B40	Boundary value problems on infinite intervals for ordinary differential equations
47N20	Applications of operator theory to differential and integral equations

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