New Oscillation Results for a Nonlinear Generalization of Euler Differential Equation

V Roomi - Mathematics Interdisciplinary Research, 2021 - mir.kashanu.ac.ir
‎‎‎‎ In the present work the oscillatory behavior of the solutions of a nonlinear generalization of
Euler equation will be considered in which the‎‎ nonlinearities satisfy the smoothness …

[PDF][PDF] HOMOCLINIC ORBIT IN A LIÉNARD TYPE SYSTEM

TK GHARAHASANLOU, V ROOMI - conf.ikiu.ac.ir
The object of this paper is to study the existence of an important orbit in a generalized
Liénard type system. This trajectory is doubly asymptotic to an equilibrium solution, ie, an …

[PDF][PDF] Existence of homoclinic orbit in generalized Liénard type system

T Kasbi, V Roomi, A Jodayree Akbarfam - Electronic Journal of …, 2021 - real.mtak.hu
The object of this paper is to study the existence and nonexistence of an important orbit in a
generalized Liénard type system. This trajectory is doubly asymptotic to an equilibrium …

[HTML][HTML] Uniqueness and hyperbolicity of limit cycles for autonomous planar systems with zero diagonal coefficient

Z Daoxiang, P Yan - Applied Mathematics Letters, 2017 - Elsevier
This paper investigates the uniqueness and hyperbolicity of the autonomous planar system
with zero diagonal coefficient x ̇= p 2 (y) q 2 (x) y, y ̇= p 3 (y) q 3 (x) x+ p 4 (y) q 4 (x) y and …