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Unbounded solutions of BVP for second order ODE with $p$ -Laplacian on the half line

Yuji Liu, Patricia J. Y. Wong (2013)

Applications of Mathematics

By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

Unbounded solutions of second-order multipoint boundary value problem on the half-line.

Liu, Lishan, Hao, Xinan, Wu, Yonghong (2010)

Boundary Value Problems [electronic only]

Uniform second-order difference method for a singularly perturbed three-point boundary value problem.

Çakır, Musa (2010)

Advances in Difference Equations [electronic only]

Uniformly convergent difference scheme for singularly perturbed problem of mixed type.

Brayanov, Iliya A. (2006)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Uniqueness and parameter dependence of solutions of fourth-order four-point nonhomogeneous BVPs.

Sun, Jian-Ping, Wang, Xiao-Yun (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Uniqueness implies existence of solutions for nonlinear $(k; j)$ point boundary value problems for nth order differential equations.

Ehme, Jeffrey (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Upper and lower solutions method for a class of singular fractional boundary value problems with $p$ -Laplacian operator.

Wang, Jinhua, Xiang, Hongjun (2010)

Abstract and Applied Analysis

Upper and lower solutions satisfying the inverse inequality

Irena Rachůnková (1997)

Annales Polonici Mathematici

We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.

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