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Thakar, Sarita
- Similarity Solutions of Non-Autonomous Lienard Type Equations
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1 Department of Mathematics, Shivaji University, Kolhapur (M.S.) 416 004, IN
1 Department of Mathematics, Shivaji University, Kolhapur (M.S.) 416 004, IN
Source
The Journal of the Indian Mathematical Society, Vol 83, No 1-2 (2016), Pagination: 107-123Abstract
In this paper, we obtain similarity solutions of non-autonomous Lienard type equation. First integrals of Lienard type equations are obtained by non-holonomic transformations and these rst integrals are integrated by Lie group analysis.Keywords
Lienard Type Equation, Lie Group Symmetry, Non-Linear Oscillators, Non-Holonomic Transformation.
References
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- Periodic Indefinite Sturm-Liouville Problems With One Turning Point
Abstract Views :107 |
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Authors
Affiliations
1 Department of Mathematics, Shivaji University, Kolhapur, IN
1 Department of Mathematics, Shivaji University, Kolhapur, IN
Source
The Journal of the Indian Mathematical Society, Vol 89, No 1-2 (2022), Pagination: 182–197Abstract
Multiplicity of eigenvalues of the regular indefinite Sturm- Liouville problem ?y"" + qy = ?wy on [a, b] subject to periodic boundary conditions is discussed. A necessary and sufficient condition for the existence of non-simple real eigenvalues is proved. Eigenfunctions corresponding to non-simple real eigenvalues are obtained. In this article, we discuss the interlacing property in one turning point case with periodic boundary conditions.
Keywords
Periodic boundary conditions, Indefinite Sturm Liouville problems, Turning point.References
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