Solvability of nth order nonlinear eigenvalue problem

International Journal of Applied Mathematics and Computation

Sabbavarapu Nageswara Rao²  Allaka Kameswara Rao¹ 

[1] Andhra University$$;Sri Prakash College of Engg, Tuni$$

关键词: Boundary value problem;    eigenvalue interval;    ¯xed point;    cone.;   

DOI  :  10.0000/ijamc.2010.2.4.68

来源: PSIT Kanpur

【 摘 要 】

We determine the values of a parameter $lambda$ for which there
exist positive solutions to the $n$-th order nonliear differential
equation $y^{(n)}(t)+lambda f(t, y(t))=0, ~~tin [a, b]$, satisfying the boundary conditions $y^{(i)}(a)=0,~~0leq ileq n-2$
$y^{(p)}(b)=0, ~~~(1leq p leq n-1, {m but~~fixed})$
where $f:[a,b]imesRightarrowR$ is continuous. Cone theory and Krasnosel'skii
fixed point theorem will be applied.

【 授权许可】

Unknown