ASYMPTOTIC REPRESENTATIONS OF SOLUTIONS WITH SLOWLY VARYING DERIVATIVES
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 2
Abstract
Second-order differential equations with power and exponential nonlinearities on the right hand side play an important role in the development of a qualitative theory of differential equations. The authors of most works devoted to the establishment of asymptotic representations of solutions investigate equations with power and with regularly varying nonlinearities. Recently, the consideration of differential equations with exponential and a wider class than exponential functions - rapidly varying functions - has begun. In this paper, the asymptotic representations of solutions with slowly varying first-order derivatives of some new class of second-order differential equations with rapidly and regularly varying nonlinearities are established.
Authors and Affiliations
O. O. Chepok
Keywords
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- EP ID EP558809
- DOI 10.18524/2519-206x.2018.2(32).149708
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