Nonlinear Oscillations in Disconjugate Forced Functional Equations with Deviating Arguments
نویسنده
چکیده
For the equation where LnV(t) + a(t)h(y(o(t))) f(t) LnY(t) Pn(t) (Pn_l (t) (..-(Pl(t) (P0(t)y(t)) ’) .) ’) sufficient conditions have been found for all of its solutions to be oscillatory. The conditions found also lead to growth estimates for tle nonoscillatory solutions.
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 کاملOscillations in a Linear System of Differential-Difference Equations of Arbitrary Order
There exists an extensive amount of literature dealing with oscillations in scalar differential equations of first and higher order with and without deviating arguments and we refer to Kartsatos [4] for a survey of the work done in this area. However, almost no attention has been paid for studying oscillations in systems (non-scalar) of differential equations with deviating arguments. The purpo...
متن کاملOscillation 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 کاملOscillation of Solutions for Forced Nonlinear Neutral Hyperbolic Equations with Functional Arguments
This article studies the forced oscillatory behavior of solutions to nonlinear hyperbolic equations with functional arguments. Our main tools are the integral averaging method and a generalized Riccati technique.
متن کاملOscillation of Solutions to a Higher-order Neutral Pde with Distributed Deviating Arguments
This article presents conditions for the oscillation of solutions to neutral partial differential equations. The order of these equations can be even or odd, and the deviating arguments can be distributed over an interval. We also extend our results to a nonlinear equation and to a system of equations.
متن کامل