Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale
We consider the nonlinear second order conjugate eigenvalue problem on a time scale: y ΔΔ(t)+λa(t)f(y(σ(t)))=0,t∈[0,1],y(0)=0=y(σ(1)) . Values of the parameter λ (eigenvalues) are determined for which this problem has a positive solution. The methods used here extend recent results by allowing for a...
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Hindawi Limited
2000-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S108533750000018X |
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doaj-401c04d0e4d542a9a858006c1829414b2020-11-24T22:02:32ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092000-01-0152919910.1155/S108533750000018XSolvability of a nonlinear second order conjugate eigenvalue problem on a time scaleJohn M. Davis0Johnny Henderson1K. Rajendra Prasad2William Yin3Department of Mathematics, Baylor University, Waco, TX 76798, USADepartment of Mathematics, Auburn University, Auburn, AL 36849, USADepartment of Applied Mathematics, Andhra University, Visakhapatnam 530003, IndiaDepartment of Mathematics, LaGrange College, LaGrange, GA 30240, USAWe consider the nonlinear second order conjugate eigenvalue problem on a time scale: y ΔΔ(t)+λa(t)f(y(σ(t)))=0,t∈[0,1],y(0)=0=y(σ(1)) . Values of the parameter λ (eigenvalues) are determined for which this problem has a positive solution. The methods used here extend recent results by allowing for a broader class of functions for a(t).http://dx.doi.org/10.1155/S108533750000018X |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
John M. Davis Johnny Henderson K. Rajendra Prasad William Yin |
| spellingShingle |
John M. Davis Johnny Henderson K. Rajendra Prasad William Yin Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale Abstract and Applied Analysis |
| author_facet |
John M. Davis Johnny Henderson K. Rajendra Prasad William Yin |
| author_sort |
John M. Davis |
| title |
Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale |
| title_short |
Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale |
| title_full |
Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale |
| title_fullStr |
Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale |
| title_full_unstemmed |
Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale |
| title_sort |
solvability of a nonlinear second order conjugate eigenvalue problem on a time scale |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2000-01-01 |
| description |
We consider the nonlinear second order conjugate eigenvalue
problem on a time scale: y ΔΔ(t)+λa(t)f(y(σ(t)))=0,t∈[0,1],y(0)=0=y(σ(1))
. Values of the parameter λ (eigenvalues) are determined for which this problem has a positive solution. The methods used here extend recent results by allowing for a broader class of functions for a(t). |
| url |
http://dx.doi.org/10.1155/S108533750000018X |
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