Nonoscillatory solutions of a class of nth-order linear differential equations
نویسندگان
چکیده
منابع مشابه
ON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *
The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
متن کاملon the periodic solutions of a class of nth order nonlinear differential equations *
the nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. using the leray-schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
متن کاملNonoscillatory Solutions of Second-Order Differential Equations without Monotonicity Assumptions
The continuability, boundedness, monotonicity, and asymptotic properties of nonoscillatory solutions for a class of second-order nonlinear differential equations p t h x t f x′ t ′ q t g x t are discussed without monotonicity assumption for function g. It is proved that all solutions can be extended to infinity, are eventually monotonic, and can be classified into disjoint classes that are full...
متن کاملNonoscillatory Solutions of Second Order Differential Equations with Integrable Coefficients
The asymptotic behavior of nonoscillatory solutions of the equation x" + a{t)\x\' sgnx = 0, y > 0 , is discussed under the condition that A(t) = limr_00/, a(s)ds exists and A(t) > 0 for all t. For the sublinear case of 0 < y < 1 , the existence of at least one nonoscillatory solution is completely characterized.
متن کاملTriple positive solutions of nth order impulsive integro-differential equations
In this paper, we prove the existence of at least three positive solutions of boundary value problems for nth order nonlinear impulsive integrodifferential equations of mixed type on infinite interval with infinite number of impulsive times. Our results are obtained by applying a new fixed point theorem introduced by Avery and Peterson.
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: Journal of Differential Equations
سال: 1978
ISSN: 0022-0396
DOI: 10.1016/0022-0396(78)90110-9