PERIODIC SOLUTIONS OF SINGULAR DIFFERENTIAL EQUATIONS WITH SIGN-CHANGING POTENTIAL
نویسندگان
چکیده
منابع مشابه
Nonconstant periodic solutions created by impulses for singular differential equations
*Correspondence: [email protected] 2Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 5046, Dhahran, 31261, Saudi Arabia Full list of author information is available at the end of the article Abstract In this work we discuss the existence of nonconstant periodic solutions for nonautonomous singular second order differential equations in the p...
متن کاملExistence of Nontrivial Solutions for Singular Quasilinear Equations with Sign Changing Nonlinearity
By an application of Bonanno’s three critical point theorem, we establish the existence of a nontrivial solution to the problem −∆pu = μ g(x)|u|p−2u |x|p + λa(x)f(u) in Ω, u = 0 on ∂Ω, under some restrictions on g, a and f for certain positive values of μ and λ.
متن کاملSingular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter
where 2 < α ≤ 3, D denotes the Riemann-Liouville fractional derivative, λ is a positive constant, f (t, x) may change sign and be singular at t = 0, t = 1, and x = 0. By means of the Guo-Krasnoselskii fixed point theorem, the eigenvalue intervals of the nonlinear fractional functional differential equation boundary value problem are considered, and some positive solutions are obtained, respecti...
متن کاملExistence of positive periodic solutions of functional difference equations with sign-changing terms
This paper is concerned with the nonlinear functional difference equation ∆x(n) = −a(n)x(n) + λh(n)f(n, x(n− τ(n))), where h and f may change sign. Sufficient conditions for the existence of at least one positive T−periodic solution are established.
متن کاملMultiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights
Recommended by Pavel Drabek We study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu − μ/|x| 2 u λfx|u| q−2 u gx|u| 2 * −2 u in Ω, u 0 on ∂Ω, where 0 ∈ Ω ⊂ R N N ≥ 3 is a bounded domain with smooth boundary ∂Ω, λ > 0, 0 ≤ μ < μ N − 2 2 /4, 2 * 2N/N − 2, 1 ≤ q < 2, and f, g are continuous functions on Ω which are somewhere positive but which may change...
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: Bulletin of the Australian Mathematical Society
سال: 2010
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972710001607