INVESTIGATION OF SOME CLASSES OF SPECIAL SOLUTIONS OF ESSENTIALLY NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 2
Abstract
The sufficiently wide class of slowly varying solutions as the argument tends to the special point for essentially nonlinear second order differential equations is considered. The necessary and sufficient conditions of the existence of solutions of considered class are obtained. The asymptotic representations as the argument tends to a special point of such solutions and their first derivatives are found also. The results of the work can be used by the investigation of solutions on infinity and for singular solutions.
Authors and Affiliations
G. A. Gerzhanovskaya
Keywords
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- EP ID EP558778
- DOI 10.18524/2519-206x.2018.2(32).149700
- Views 71
- Downloads 0
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