Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
<p/> <p>This paper investigates the singular differential equation <inline-formula> <graphic file="1687-2770-2009-959636-i1.gif"/></inline-formula>, having a singularity at <inline-formula> <graphic file="1687-2770-2009-959636-i2.gif"/>&l...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2009/959636 |
| Summary: | <p/> <p>This paper investigates the singular differential equation <inline-formula> <graphic file="1687-2770-2009-959636-i1.gif"/></inline-formula>, having a singularity at <inline-formula> <graphic file="1687-2770-2009-959636-i2.gif"/></inline-formula>. The existence of a strictly increasing solution (a homoclinic solution) satisfying <inline-formula> <graphic file="1687-2770-2009-959636-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2009-959636-i4.gif"/></inline-formula> is proved provided that <inline-formula> <graphic file="1687-2770-2009-959636-i5.gif"/></inline-formula> has two zeros and a linear behaviour near <inline-formula> <graphic file="1687-2770-2009-959636-i6.gif"/></inline-formula>.</p> |
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| ISSN: | 1687-2762 1687-2770 |