Results 71 to 80 of about 4,377 (209)
Quasi-adjoint third order difference equations: oscillatory and asymptotic behavior
International Journal of Mathematics and Mathematical Sciences, 1986 In this paper, asymptotic properties of solutions ofΔ3Vn+Pn−1Vn+1=0 (E+)are investigated via the quasi-adjoint equationΔ3Un+PnUn+2=0. (E−)A necessary and sufficient condition for the existence of oscillatory solutions of (E+) is ...
B. Smith
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Oscillation of the per capita growth rate
مجلة بغداد للعلوم, 2005 in this paper cquations of the per capita growth rate are considered sufficient conditions for oscillation of all solutions are obtained the asymptotie behavior of the nonoscillatory solution of all souliotions are ...
Baghdad Science Journal
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, 2015 We describe a method for calculating the roots of special functions satisfying second order linear ordinary differential equations. It exploits the recent observation that the solutions of a large class of such equations can be represented via ...
Bremer, James
core
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 +2 more
wiley +1 more source
Oscillation of solutions to second-order nonlinear differential equations of generalized Euler type
Electronic Journal of Differential Equations, 2013 We are concerned with the oscillatory behavior of the solutions of a generalized Euler differential equation where the nonlinearities satisfy smoothness conditions which guarantee the uniqueness of solutions of initial value problems, however, no ...
Asadollah Aghajani +2 more
doaj
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 +3 more
wiley +1 more source
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
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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 +4 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
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones.
Dan Li, Yuhua Long, Ji Gao
wiley +1 more source