Slowly Oscillating Solutions for Differential Equations with Strictly Monotone Operator
<p/> <p>The authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation <inline-formula><graphic file="1029-242X-2007-060239-i1.gif"/></inline-formula> with strictly monoton...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/060239 |
| Summary: | <p/> <p>The authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation <inline-formula><graphic file="1029-242X-2007-060239-i1.gif"/></inline-formula> with strictly monotone operator. Particularly, the authors give necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation <inline-formula><graphic file="1029-242X-2007-060239-i2.gif"/></inline-formula>, where <inline-formula><graphic file="1029-242X-2007-060239-i3.gif"/></inline-formula> denotes the gradient of the convex function <inline-formula><graphic file="1029-242X-2007-060239-i4.gif"/></inline-formula> on <inline-formula><graphic file="1029-242X-2007-060239-i5.gif"/></inline-formula>. </p> |
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| ISSN: | 1025-5834 1029-242X |