Qualitative Analysis of Solutions of Nonlinear Delay Dynamic Equations

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY

On some qualitative behaviors of solutions to a kind of third order nonlinear delay differential equations

Sufficiency criteria are established to ensure the asymptotic stability and boundedness of solutions to third-order nonlinear delay differential equations of the form ... x (t) + e(x(t), ẋ(t), ẍ(t))ẍ(t) + g(x(t− r), ẋ(t− r)) + ψ(x(t− r)) = p(t, x(t), x(t − r), x(t), x(t− r), x(t)). By using Lyapunov’s functional approach, we obtain two new results on the subject, which include and improve some ...

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Oscillation Behavior of Solutions of Third-order Nonlinear Delay Dynamic Equations on Time Scales

By using the Riccati transformation technique, we study the oscillation and asymptotic behavior for the third-order nonlinear delay dynamic equations ( c(t) ( p(t)x(t) )∆)∆ + q(t)f(x(τ(t))) = 0 on a time scale T, where c(t), p(t) and q(t) are real-valued positive rdcontinuous functions defined on T. We establish some new sufficient conditions which ensure that every solution oscillates or conve...

Oscillation and Asymptotic Behavior of Solutions of Certain Third-Order Nonlinear Delay Dynamic Equations

The paper deals with the oscillation and asymptotic behavior of solutions of the third-order nonlinear delay dynamic equation { b(t) ([ a(t) ( x(t) )α]∆ )β}∆ + f(t, x(τ(t))) = 0 on a time scale T, where α, β > 0 are quotients of odd positive integers. We obtain some sufficient conditions which ensure that every solution of the equation either oscillates or converges to zero. Our results extend ...