Multiple periodic solutions for a fourth-order discrete Hamiltonian system
Journal Title: Surveys in Mathematics and its Applications - Year 2010, Vol 5, Issue 0
Abstract
By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltonian system <CENTER>Δ<SUP>4</SUP>u(t-2)+∇ F(t,u(t))=0 for all t∈ <B>Z</B>.</CENTER>
Authors and Affiliations
Jianwen Zhou, Yongkun Li
Fixed points for multivalued contractions on a metric space
The purpose of this paper is to prove a fixed point theorem for multivalued operators and a fixed point theorem for multivalued weakly Picard operators in the terms of τ -distance.
Shock Waves in Gas Dynamics
Shock wave theory was studied in literature by many authors. This article presents a survey with references about various topics related to shock waves: Hyperbolic conservation laws, Well-posedness theory, Compactness th...
Fractional order differential inclusions on the half-line
We are concerned with the existence of bounded solutions of a boundary value problem on an unbounded domain for fractional order differential inclusions involving the Caputo fractional derivative. Our results are based o...
A unique common fixed point theorem for occasionally weakly compatible maps
The aim of this paper is to establish a unique common fixed point theorem for two pairs of occasionally weakly compatible single and multi-valued maps in a metric space. This result improves the result of Türkoglu et al....
Upper and lower bounds of solutions for fractional integral equations
In this paper we consider the integral equation offractional order in sense of Riemann-Liouville operator<CENTER>u<SUP>m</SUP>(t) = a(t) I<SUP>α</SUP> [b(t)u(t)]+f(t)</CENTER>with m ≥...