Oscillatory Properties of Solutions of Impulsive Differential Equations with Several Retarded Arguments

نویسندگان

  • D. D. BAINOV
  • M. B. DIMITROVA
  • V. A. PETROV
چکیده

The impulsive differential equation x′(t) + m ∑ i=1 pi(t)x(t− τi) = 0, t 6= ξk, ∆x(ξk) = bkx(ξk) with several retarded arguments is considered, where pi(t) ≥ 0, 1 + bk > 0 for i = 1, . . . , m, t ≥ 0, k ∈ N. Sufficient conditions for the oscillation of all solutions of this equation are found. §

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Forced Oscillation of Neutral Impulsive Parabolic Partial Differential Equations with Continuous Distributed Deviating Arguments

This paper investigated oscillatory properties of solutions for nonlinear parabolic equations with impulsive effects under two different boundary conditions. By using integral averaging method, variable substitution and functional differential inequalities, we established several sufficient conditions. At last, we provided two examples to illustrate the results.

متن کامل

Forced Oscillation of Nonlinear Impulsive Hyperbolic Partial Differential Equation with Several Delays

In this paper, we study oscillatory properties of solutions for the nonlinear impulsive hyperbolic equations with several delays. We establish sufficient conditions for oscillation of all solutions.

متن کامل

Existence solutions for new p-Laplacian fractional boundary value problem with impulsive effects

Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...

متن کامل

Existence of Non-oscillatory Solutions for Nonlinear Differential Equations with Distributed Delays and M-order Linear Operators with Variable Coefficients

This article concerns the existence of non-oscillatory solutions for non-linear, nonhomogeneous differential equations. In these equations, the unknown function depends on distributed arguments that can be retarded or advanced and have variable delays. Using contraction mappings, we show the existence of solutions, and estimate their norms. Then our results are extended to dynamic equations on ...

متن کامل

Oscillation of Second Order Nonlinear Impulsive Differential Equations with Deviating Arguments

In this paper, we present some new sufficient conditions for the oscillations of all solutions of a second order retarded differential equations with impulses.These results extend the known results for the differential equations without impulses.An example is provided to illustrate our result.

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001