Results 61 to 70 of about 436 (179)

Nonlinear oscillations in disconjugate forced functional equations with deviating arguments

International Journal of Mathematics and Mathematical Sciences, 1983
For the equation Lnv(t)+a(t)h(y(g(t)))=f(t) where Lny(t)=pn(t)(pn−1(t)(…(p1(t)(po(t)y(t))′)′…)′)′ sufficient conditions have been found for all of its solutions to be oscillatory.
Bhagat Singh
doaj   +1 more source

Analytic Study of the Existence of Solutions to the Second‐Order Delay Differential Equations

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This paper addresses the existence of bounded solutions for second‐order nonlinear delay differential equations. It presents new sufficient conditions to demonstrate that the solutions are bounded by decreasing functions. Additionally, an example is provided to validate the applicability of these conditions.
Mohammed Jasim Fadhil, Bashar Ahmed Sharba, Arpan Hazra   +2 more
wiley   +1 more source

Existence of Oscillatory Solutions for Second‐Order Functional Differential Equations With Time Delay

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates the existence of oscillatory behavior of solutions for the following second‐order delay differential equation rtΨx′t′+ptΨx′t+∑i=1mGit,xgit=qt,t≥t0. By using the Schauder–Tychonoff fixed‐point theorem and Ascoli–Arzelà theorem, sufficient conditions for the existence of oscillatory solutions are derived.
Ahmed Maher, Rasha O. A. Taie, Mona G. A. Alwaleedy, Seppo Hassi   +3 more
wiley   +1 more source

Neutral Difference System and its Nonoscillatory Solutions

Tatra Mountains Mathematical Publications, 2018
Abstract The paper deals with a system of four nonlinear difference equations where the first equation is of a neutral type. We study nonoscillatory solutions of the system and we present sufficient conditions for the system to have weak property B.
openaire   +1 more source

Sensitivity and Chaotic Dynamics: A Comparative Study of Optical Solitons for the Zhanbota‐IIA Equation Using Enhanced Analytical Methods

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This work investigates solitary wave solutions and dynamical properties of the integrable Zhanbota‐IIA equation, which exhibits rich nonlinear dynamics and diverse soliton structures. To derive exact traveling wave solutions, two robust analytical frameworks are employed: the new extended direct algebraic method (NEDAM) and the (G′/G2)‐expansion method.
Ghulam Hussain Tipu, Fengping Yao, Abdul Mateen, Loredana Ciurdariu, Dimitri Mugnai   +4 more
wiley   +1 more source

Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system \begin{equation*} x'-p(t)\varphi_{1/\alpha}(y)=0,\qquad y'+q(t)\varphi_{\alpha}(x)=0, \tag{
Jaroslav Jaroš, Takaŝi Kusano, T. Tanigawa   +2 more
doaj   +1 more source

Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation

Advances in Difference Equations, 2010
The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of
Liu Min, Guo Zhenyu
doaj  

NONOSCILLATORY SOLUTIONS FOR NONLINEAR DISCRETE SYSTEMS

, 2002
We investigate some asymptotic properties of a nonlinear forced difference system In particular we give necessary and sufficient conditions for existence of the so-called regularly decaying solutions and thereby we complete the results presented in ["New Progress in Difference Equations'', 2004 , pp.493-500, CRC Press, Boca Raton].
MARINI, MAURO, MATUCCI, SERENA, P. REHAK
openaire   +1 more source

Oscillatory and nonoscillatory solutions of multivalued differential inclusions

Computers & Mathematics with Applications, 2005
The paper concerns the existence of Carathéodory solutions to the ``scalar'' differential inclusion \(y'(t)\in F(t,y(t))\) subject to the constraints \(\alpha(t)\leq y(t)\leq\beta(t)\) (if \(\alpha\) and \(\beta\) are oscillatory functions, then so is \(y\)). The hypotheses must be added that \(\alpha\) and \(\beta\) are absolutely continuous (for the `
Benchohra, M., Graef, J.R., Ouahab, A.
openaire   +1 more source

Qualitative properties of solutions of certain fourth order linear differential equations

International Journal of Mathematics and Mathematical Sciences, 1981
This work considers differential equations of the form (py″)′​′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions.
W. E. Taylor
doaj   +1 more source