Oscillation and nonoscillation criteria for nth-order linear differential equations

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 and Nonoscillation Criteria for Second-order Linear Differential Equations

Sufficient conditions for oscillation and nonoscillation of second-order linear equations are established. 1. Statement of the Problem and Formulation of Basic Results Consider the differential equation u′′ + p(t)u = 0, (1) where p : [0, +∞[→ [0, +∞[ is an integrable function. By a solution of equation (1) is understood a function u : [0,+∞[→] − ∞, +∞[ which is locally absolutely continuous tog...

متن کامل

Oscillation criteria for nth order nonlinear neutral differential equations

In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form

متن کامل

Oscillation and Nonoscillation Criteria for Even Order Nonlinear Functional Differential Equations

This paper is devoted to the study of the oscillatory and nonoscillatory behavior of even order nonlinear functional differential equations with deviating argument of the type ( p(t)|x(n)(t)|α sgnx(n)(t)(n) +q(t)|x(g(t))|β sgnx(g(t)) = 0. (Ag) Mathematics subject classification (2010): 34C10, 26A12.

متن کامل

Oscillation Criteria for Second-order Linear Differential Equations^)

where p(x) is a continuous positive function for 0<x< oo. Equation (1) is said to be nonoscillatory in (a, oo) if no solution of (1) vanishes more than once in this interval. Because of the Sturm separation theorem, this is equivalent to the existence of a solution which does not vanish at all in (a, oo). The equation will be called nonoscillatory—without the interval being mentioned —if there ...

متن کامل

Oscillation and nonoscillation criteria for half-linear second order di¤erential equations

We investigate oscillatory properties of the second order half-linear differential equation ðrðtÞFðy 0ÞÞ 0 þ cðtÞFðyÞ 1⁄4 0; FðsÞ :1⁄4 jsj s; p > 1; ð*Þ viewed as a perturbation of a nonoscillatory equation of the same form ðrðtÞFðy 0ÞÞ 0 þ ~ cðtÞFðyÞ 1⁄4 0: Conditions on the di¤erence cðtÞ ~ cðtÞ are given which guarantee that equation ð*Þ becomes oscillatory (remains nonoscillatory).

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: Journal of Differential Equations

سال: 1986

ISSN: 0022-0396

DOI: 10.1016/0022-0396(86)90078-1