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Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity

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  • Wong, Patricia J.Y.

Abstract

We consider a general class of boundary value problem (BVP) comprising the differential equationy(m)(t)=λFt,y(t),y′(t),y″(t),…,y(q)(t),t∈(0,1)where 1⩽q⩽m-1 and λ>0, together with multi-point boundary conditionsy(0)=y′(0)=y″(0)=⋯=y(q-1)(0)=0,Aiy(q)(tj),y(q+1)(tj),…,y(m-1)(tj);0⩽j⩽r=0,1⩽i⩽m-qwhere 0=t0

Suggested Citation

  • Wong, Patricia J.Y., 2015. "Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 908-930.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:908-930
    DOI: 10.1016/j.amc.2015.02.087
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