Landesman-Lazer Conditions for Periodic Boundary Value Problems with Asymmetric Nonlinearities
نویسندگان
چکیده
منابع مشابه
Landesman Lazer type results for first order periodic problems
Existence of nonnegative solutions are established for the periodic problem y = f(t, y) a.e. on [0, T ], y(0) = y(T ). Here the nonlinearity f satisfies a Landesman Lazer type condition.
متن کاملLandesman–Lazer Conditions for the Steklov Problem
We prove existence of weak solutions to an eigenvalue Steklov problem defined in a bounded domain with a Lipschitz continuous boundary.
متن کاملMultiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions
and Applied Analysis 3 B∞ There is h ∈ C Ω,R such that ∣∣f x, z ∣∣ ≤ h x , ∀ x, z ∈ Ω × R2, ∣∣g x, z ∣∣ ≤ h x , ∀ x, z ∈ Ω × R2. 1.8 Under these hypotheses, system 1.1 is asymptotically quadratic at infinity due to the presence of a linear part given by the function A ∈ S2 Ω . In addition, when λk A 1 for some k ≥ 1 the problem 1.1 becomes resonant. In this case, in order to obtain existence an...
متن کاملOn the Weak Solution of a Semilinear Boundary Value Problem without the Landesman-Lazer Condition
Sikiru Adigun Sanni Department of Mathematics and Statistics, University of Uyo, Akwa Ibom, 520003 Uyo, Nigeria Correspondence should be addressed to Sikiru Adigun Sanni, [email protected] Received 4 August 2011; Accepted 15 October 2011 Academic Editor: Yuji Liu Copyright q 2011 Sikiru Adigun Sanni. This is an open access article distributed under the Creative Commons Attribution License, ...
متن کاملExistence of positive solutions for fourth-order boundary value problems with three- point boundary conditions
In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...
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: 1995
ISSN: 0022-0396
DOI: 10.1006/jdeq.1995.1040