eigenvalues of boundary value problems for higher order differential equations
Clicks: 150
ID: 190763
1996
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Abstract
We shall consider the boundary value problem y(n)+λQ(t,y,y1,⋅⋅⋅,y(n−2))=λP(t,y,y1,⋅⋅⋅,y(n−1)),n≥2,t∈(0,1),y(i)(0)=0,0≤i≤n−3,αy(n−2)(0)−βy(n−1)(0)=0,γy(n−2)(1)+δy(n−1)=0,
where λ>0,α,β,γ
and δ
are constants satisfying αγ+αδ+βγ>0,β,δ≥0,β+α>0
and δ+γ>0
to characterize the values of
λ
so that it has a positive solution. For the special case
λ=1, sufficient conditions
are also established for the existence of positive solutions.
| Reference Key |
wong1996mathematicaleigenvalues
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|---|---|
| Authors | ;Patricia J. Y. Wong;Ravi P. Agarwal |
| Journal | journal of power sources |
| Year | 1996 |
| DOI |
10.1155/S1024123X96000415
|
| URL | |
| Keywords |
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