On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations
نویسندگان
چکیده
منابع مشابه
On power and non-power asymptotic behavior of positive solutions to Emden-Fowler type higher-order equations
متن کامل
Approximate solutions of Emden-Fowler type equations
Singular initial value problems are investigated. We extend a decomposition method for di¤erent type Emden-Fowler-like equations. Some special cases of the equation are solved as examples, to illustrate the reliableness of the method. The solutions are constructed in the form of a convergent series.
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We establish some new criteria for the oscillation of second-order Emden–Fowler neutral delay differential equations.We study the case of superlinear and the case of sublinear equations subject to various conditions. The results obtained show that the presence of a neutral term in a differential equation can cause or destroy oscillatory properties. Several examples are provided to illustrate th...
متن کاملOscillation and asymptotic properties of a class of second-order Emden–Fowler neutral differential equations
We consider a class of second-order Emden-Fowler equations with positive and nonpositve neutral coefficients. By using the Riccati transformation and inequalities, several oscillation and asymptotic results are established. Some examples are given to illustrate the main results.
متن کاملOn qualitative properties and asymptotic behavior of solutions to higher-order nonlinear differential equations
We discuss the asymptotic behavior of solutions to a higher-order Emden–Fowler type equation with constant potential. Several author’s results are presented concerning both positive and oscillatory solutions to equations with regular and singular nonlinearities. We discuss the existence and asymptotic behavior of “blowup” solutions. Results on the asymptotic behavior of oscillating solutions ar...
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2015
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2015.144464