Existence of solutions for second-order integral boundary value problems | Zendy

Yujun Cui | Zendy; Yumei Zou | Zendy

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Existence of solutions for second-order integral boundary value problems

Author(s) -

Yujun Cui,

Yumei Zou

Publication year - 2016

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2016.6.6

Subject(s) - lipschitz continuity , mathematics , monotone polygon , boundary value problem , eigenvalues and eigenvectors , order (exchange) , mathematical analysis , value (mathematics) , integral equation , physics , geometry , statistics , finance , quantum mechanics , economics

In this paper, using a new comparison result and monotone iterative method, we consider the existence of solution of integral boundary value problem for second-order differential equation. To obtain corresponding results, we also discuss second order differential inequalities. The interesting point is that the one-sided Lipschitz constant is related to the first eigenvalues corresponding to the relevant operators.

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