Journal ArticleDOI
Asymptotic behavior of solutions of a differential equation partially solved with respect to the derivative
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This article is published in Siberian Mathematical Journal.The article was published on 1983-01-01. It has received 12 citations till now. The article focuses on the topics: First-order partial differential equation & Universal differential equation.read more
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Solving certain classes of Lane-Emden type equations using the differential transformation method
TL;DR: In this article, the differential transformation method (DTM) is applied to solve singular initial problems represented by certain classes of Lane-Emden type equations, and some new differential transformation formulas for certain exponential and logarithmic nonlinearities are derived.
Journal ArticleDOI
Globally bounded solutions of a system of nonlinear functional differential equations with iterated deviating argument
TL;DR: Some sufficient conditions which guarantee the existence of a bounded solution together with its first derivative on the whole real line of a system of nonlinear functional differential equations with an iterated deviating argument dependent of unknown function are given.
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Solutions converging to zero of some systems of nonlinear functional differential equations with iterated deviating argument
TL;DR: Some sufficient conditions for the existence of a p -parameter family of solutions converging to zero of a system of nonlinear functional differential equations with an iterated deviating argument dependent of unknown function are given.
Journal ArticleDOI
On solutions of a class of systems of nonlinear functional differential equations of neutral type with complicated deviations of an argument
TL;DR: Sufficient conditions for the existence of a unique bounded solution together with its first derivative on R + of a system of nonlinear functional differential equations with an iterated deviating argument dependent of unknown function are given.
Journal ArticleDOI
Asymptotically convergent solutions of a system of nonlinear functional differential equations of neutral type with iterated deviating arguments
TL;DR: Some conditions that guarantee the existence of a family of solutions converging to zero of a system of nonlinear functional differential equations with iterated deviating arguments are given.
References
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Book
Ordinary differential equations
TL;DR: In this article, the Poincare-Bendixson theory is used to explain the existence of linear differential equations and the use of Implicity Function and fixed point Theorems.