ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS TO A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

OLIVIA LIPOVAN

doi:10.1017/S0017089502001143

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

For a class of second order nonlinear differential equations, sufficient conditions are presented to ensure that some, respectively all solutions are asymptotic to lines.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Philos, Ch.G. Purnaras, I.K. and Tsamatos, P.Ch. 2004. Asymptotic to polynomials solutions for nonlinear differential equations. Nonlinear Analysis: Theory, Methods & Applications, Vol. 59, Issue. 7, p. 1157.

Yin, Zhaoyang 2004. Bounded positive solutions of Schrödinger equations. Applied Mathematics Letters, Vol. 17, Issue. 5, p. 527.

Wahlén, Erik 2004. Positive solutions of second-order differential equations. Nonlinear Analysis: Theory, Methods & Applications, Vol. 58, Issue. 3-4, p. 359.

Mustafa, Octavian G. 2005. Initial value problem with infinitely many linear-like solutions for a second-order differential equation. Applied Mathematics Letters, Vol. 18, Issue. 8, p. 931.

Mustafa, Octavian G. 2005. Positive solutions of nonlinear differential equations with prescribed decay of the first derivative. Nonlinear Analysis: Theory, Methods & Applications, Vol. 60, Issue. 1, p. 179.

Constantin, Adrian 2005. On the existence of positive solutions of second order differential equations. Annali di Matematica Pura ed Applicata (1923 -), Vol. 184, Issue. 2, p. 131.

Mustafa, Octavian G. and Rogovchenko, Yuri V. 2005. Asymptotic integration of nonlinear differential equations. Nonlinear Analysis: Theory, Methods & Applications, Vol. 63, Issue. 5-7, p. e2135.

Ehrnström, Mats 2006. On radial solutions of certain semi-linear elliptic equations. Nonlinear Analysis: Theory, Methods & Applications, Vol. 64, Issue. 7, p. 1578.

Mustafa, Octavian G. and Rogovchenko, Yuri V. 2006. Asymptotic integration of a class of nonlinear differential equations. Applied Mathematics Letters, Vol. 19, Issue. 9, p. 849.

Ehrnström, Mats 2006. Positive solutions for second-order nonlinear differential equations. Nonlinear Analysis: Theory, Methods & Applications, Vol. 64, Issue. 7, p. 1608.

Yin, Zhao Yang 2006. Positive Solutions of a Class of Quasilinear Elliptic Equations in Two–dimensional Exterior Domains. Acta Mathematica Sinica, English Series, Vol. 22, Issue. 3, p. 819.

PHILOS, CH. G. 2007. POSITIVE INCREASING SOLUTIONS ON THE HALF-LINE TO SECOND ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS. Glasgow Mathematical Journal, Vol. 49, Issue. 2, p. 197.

Philos, Ch. G. Purnaras, I. K. and Tsamatos, P. Ch. 2007. Global Solutions Approaching Lines at Infinity to Second Order Nonlinear Delay Differential Equations. Funkcialaj Ekvacioj, Vol. 50, Issue. 2, p. 213.

EHRNSTRÖM, MATS 2007. LINEAR ASYMPTOTIC BEHAVIOUR OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. Glasgow Mathematical Journal, Vol. 49, Issue. 1, p. 105.

Mustafa, Octavian G. 2007. On Some Second Order Differential Equations with Convergent Solutions. Monatshefte für Mathematik, Vol. 150, Issue. 2, p. 133.

Ehrnström, Mats 2007. Prescribed asymptotic behaviour of solutions to semilinear ordinary differential equations. Applied Mathematics Letters, Vol. 20, Issue. 7, p. 800.

Agarwal, Ravi P. Djebali, Smail Moussaoui, Toufik and Mustafa, Octavian G. 2007. On the asymptotic integration of nonlinear differential equations. Journal of Computational and Applied Mathematics, Vol. 202, Issue. 2, p. 352.

GONZÁLEZ, CRISTÓBAL and JIMÉNEZ-MELADO, ANTONIO 2007. EXISTENCE OF MONOTONIC ASYMPTOTICALLY CONSTANT SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS. Glasgow Mathematical Journal, Vol. 49, Issue. 3, p. 515.

Deng, Jiqin 2008. Existence for bounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains. Nonlinear Analysis: Theory, Methods & Applications, Vol. 69, Issue. 8, p. 2740.

Akın-Bohner, Elvan Bohner, Martin Djebali, Smaïl and Moussaoui, Toufik 2008. On the Asymptotic Integration of Nonlinear Dynamic Equations. Advances in Difference Equations, Vol. 2008, Issue. , p. 1.

Download full list

Article contents

ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS TO A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS TO A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

Abstract

Keywords

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests