On a superlinear periodic boundary value problem with vanishing Green's function
نویسندگان
چکیده
منابع مشابه
A periodic boundary value problem with vanishing Green's function
In this work, the authors consider the boundary value problem { y + a(t)y = g(t) f (y), 0 ≤ t ≤ 2π, y(0) = y(2π), y(0) = y(2π), and establish the existence of nonnegative solutions in the case where the associated Green’s function may have zeros. The results are illustrated with an example. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملExistence and uniqueness of solutions for a periodic boundary value problem
In this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution.
متن کاملPositive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces
K e y w o r d s P e r i o d i c boundary value problem, Singular, Positive solutions, Fixed-point theorem in cones. 1. I N T R O D U C T I O N In th is paper , we are devoted to s t u d y the exis tence of posi t ive so lu t ions to per iodic b o u n d a r y value problem, x" + a( t )x = f ( t , x), 0 < t < 1, (I . I) x(0) = x(1), x ' (0) = x ' (1) ; here, a( t ) E L i[0, 1] satisfies t h e con...
متن کاملOn the Existence of Two Solutions with a Prescribed Number of Zeros for a Superlinear Two-point Boundary Value Problem
where the function f has superlinear growth at infinity and p grows at most linearly in u and u′. Our method is based on a continuation theorem for a coincidence equation of the form Lu = N(u, λ), with the parameter λ varying in the unit interval I. In [1] and the preceding papers [4], [9, §5.5] we introduced a continuous functional φ(u, λ) which takes integer values on large solutions and, und...
متن کاملexistence and uniqueness of solutions for a periodic boundary value problem
in this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in banach spaces admitting the existence of a lower solution.
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2016
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.55