Oscillation and nonoscillation criteria for some self-adjoint even order linear differential operators
نویسندگان
چکیده
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 کاملOscillation 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 کاملOscillation and Nonoscillation of Even - Order Nonlinear Delay - Differential Equations
for their oscillatory and nonoscillatory nature. In Eqs. (1) and (2) y("(x) = (d%/dx')y{x), i = 1, 2, • • • , 2n; yr(x) = y(x — t(x))] dy/dx and d2y/dx2 will also be denoted by y' and y" respectively. Throughout this paper it will be assumed that p(x), j(x), t{x) are continuous real-valued functions on the real line (—°°, °°); j(x), p(x) and t(x), in addition, are nonnegative, r(x) is bounded a...
متن کاملOscillation criteria for even-order neutral differential equations
Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation ( x(t)− px(t− τ ))′′ + q(t)x(σ(t)) = 0.
متن کاملOscillation and Nonoscillation Theorems for a Class of Even-order Quasilinear Functional Differential Equations
We are concerned with the oscillatory and nonoscillatory behavior of solutions of evenorder quasilinear functional differential equations of the type (|y(n)(t)|α sgn y(n)(t))(n) + q(t)|y(g(t))|β sgn y(g(t))= 0, where α and β are positive constants, g(t) and q(t) are positive continuous functions on [0,∞), and g(t) is a continuously differentiable function such that g′(t) > 0, limt→∞ g(t)=∞. We ...
متن کاملذخیره 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: Pacific Journal of Mathematics
سال: 1974
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1974.51.221