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
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 Functional Calculus for Quotient Bounded Operators
If <I>(X, P)</I> is a sequentially locally convex space, then a quotient bounded operator <I>T</I> beloging to <I>Q<SUB>P</SUB></I> is regular (in the sense of Waelbroeck)...
Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations
In this paper an efficient modification of Adomian decomposition method is introduced for solving singular initial value problem in the second-order ordinary differential equations. The scheme is tested for some examples...
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...
Full averaging of fuzzy impulsive differential inclusions
In this paper the substantiation of the method of full averaging for fuzzy impulsive differential inclusions is studied. We extend the similar results for impulsive differential inclusions with Hukuhara derivative (Skrip...