Asymptotic properties of third-order differential equations with deviating argument

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument

and Applied Analysis 3 If any solution x of 1.1 is either oscillatory, or satisfies the condition 1.7 , or admits the asymptotic representation x i c 1 sin t − α i εi t , i 0, 1, 2, 3 , 1.8 where c / 0 and α are constants, the continuous functions εi i 0, 1, 2, 3 vanish at infinity and ε0 satisfies the inequality cε0 t > 0 for large t, then we say that 1.1 has weak property A. For n 3, the resu...

متن کامل

On Asymptotic Properties of Solutions of Third Order Linear Differential Equations with Deviating Arguments

The asymptotic properties of solutions of the equation u 000 (t) = p 1 (t)u(1 (t))+p 2 (t)u 0 (2 (t)), are investigatedwhere p i : a;+1! R (i = 1;2) are locally summable functions, i : a;+1! R (i = 1;2) measurable ones and i (t) t (i = 1;2). In particular, it is proved that if p 1 (t) 0, p 2 2 (t) (t)jp 1 (t)j, Z +1 a 1 (t) ? t] 2 p 1 (t)dt < +1 and Z +1 a (t)dt < +1; then each solution with th...

متن کامل

Anti-Periodic Solutions for a Class of Third-Order Nonlinear Differential Equations with a Deviating Argument

In this paper, we study a class of third-order nonlinear differential equations with a deviating argument and establish some sufficient conditions for the existence and exponential stability of anti-periodic solutions of the equation. These conditions are new and complement to previously known results.

متن کامل

Oscillatory and Asymptotic Behavior of Third-order Neutral Differential Equations with Distributed Deviating Arguments

This article concerns the oscillatory and asymptotic properties of solutions of a class of third-order neutral differential equations with distributed deviating arguments. We give sufficient conditions for every solution to be either oscillatory or to converges to zero. The results obtained can easily be extended to more general neutral differential equations and neutral dynamic equations on ti...

متن کامل

Fourth-Order Differential Equation with Deviating Argument

and Applied Analysis 3 Motivated by 14, 15 , here we study the existence of AL-solutions for 1.1 . The approach is completely different from the one used in 15 , in which an iteration process, jointly with a comparison with the linear equation y 4 q t y 2 0, is employed. Our tools are based on a topological method, certain integral inequalities, and some auxiliary functions. In particular, for ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Czechoslovak Mathematical Journal

سال: 1994

ISSN: 0011-4642,1572-9141

DOI: 10.21136/cmj.1994.128446