Existence results for a class of high order differential equation associated with integral boundary conditions at resonance

Authors: Le Cong Nhan, Đỗ Huy Hoàng, Lê Xuân Trường,

https://doi.org/10.5817/AM2017-2-111

Publisher, magazine: ,

Publication year: 2017

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Abstract

The authors study the existence of solutions of the boundary value problem (BVP) where αi,βi,γi are real constants. The problem here is at resonance, in the sense that the associated linear operator is not invertible. The authors use a continuation principle for L-compact operators to prove that the BVP (1) has at least one solution. An illustrative example is provided in the last section of the paper.

Tags: coincidence degree; high order differential equation; resonance