Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation
We consider the nonlinear eigenvalue problems for the equation , , , , where is a parameter. It is known that for a given , there exists a unique solution pair with . We establish the precise asymptotic formulas for bifurcation curve as and to see how the oscillation property of has effect on...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/753857 |
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| _version_ | 1832560475519320064 |
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| author | Tetsutaro Shibata |
| author_facet | Tetsutaro Shibata |
| author_sort | Tetsutaro Shibata |
| collection | DOAJ |
| description | We consider the nonlinear eigenvalue problems for the equation , , , , where is a parameter. It is known that for a given , there exists a unique solution pair with . We establish the precise
asymptotic formulas for bifurcation curve as and to see how the oscillation property of has effect on the behavior of . We also establish the precise asymptotic formula for bifurcation curve to show the difference between and . |
| format | Article |
| id | doaj-art-539b7a730eda46a5b8e54104c36a73d6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-539b7a730eda46a5b8e54104c36a73d62025-02-03T01:27:26ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/753857753857Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential EquationTetsutaro Shibata0Laboratory of Mathematics, Institute of Engineering, Hiroshima University, Higashi-Hiroshima 739-8527, JapanWe consider the nonlinear eigenvalue problems for the equation , , , , where is a parameter. It is known that for a given , there exists a unique solution pair with . We establish the precise asymptotic formulas for bifurcation curve as and to see how the oscillation property of has effect on the behavior of . We also establish the precise asymptotic formula for bifurcation curve to show the difference between and .http://dx.doi.org/10.1155/2012/753857 |
| spellingShingle | Tetsutaro Shibata Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation Abstract and Applied Analysis |
| title | Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation |
| title_full | Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation |
| title_fullStr | Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation |
| title_full_unstemmed | Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation |
| title_short | Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation |
| title_sort | asymptotic behavior of bifurcation curve for sine gordon type differential equation |
| url | http://dx.doi.org/10.1155/2012/753857 |
| work_keys_str_mv | AT tetsutaroshibata asymptoticbehaviorofbifurcationcurveforsinegordontypedifferentialequation |