𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behaviour of solutions for second order nonlinear autonomous differential equations

✍ Scribed by Yuri V. Rogovchenko; Gabriele Villari


Publisher
SP Birkhäuser Verlag Basel
Year
1997
Tongue
English
Weight
279 KB
Volume
4
Category
Article
ISSN
1021-9722

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Positive solutions for second-order nonl
✍ Mats Ehrnström 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 153 KB

We prove the existence of positive solutions to the scalar equation y (x) + F (x, y, y ) = 0. Applications to semilinear elliptic equations in exterior domains are considered.

Asymptotic behaviour of solutions of a t
✍ M. Bartušek; J. Osička 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 98 KB

Consider a nonlinear di erential equation y [3] + f(t; y; y [1] ; y [2] ) = 0 in D; (1) where i] ; i = 0; 1; 2; 3 is the ith quasiderivative of y deÿned as (y [i-1] ) ; i= 1; 2; y [3] = (y [2] ) ; (2) the functions a i : R + → (0; ∞); i = 1; 2 are continuous, a 1 =a 2 has the derivative on R + a

Oscillation and asymptotics for nonlinea
✍ Hong-Wu Wu; Qi-Ru Wang; Yuan-Tong Xu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 514 KB

This paper discusses a class of second-order nonlinear differential equations. By using the generalized Riccati technique and the averaging technique, new oscillation criteria are obtained for all solutions of the equation to be oscillatory. Asymptotic behavior for forced equations is also discussed