Results 231 to 240 of about 318,439 (262)

Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions

Applied Mathematics and Computation, 2003
The paper is concerned with the perturbed Duffing equation \[ x''+cx'+g(t,x)=h(t). \tag{1} \] It is proved that a periodic solution to equation (1) is asymptotically stable if and only if it is bracketed by a lower solution \(\alpha\) and an upper solution \(\beta\) satisfying \(\alpha(t)>\beta(t)\) for every \(t\), provided that the derivative of \(g\)
NJOKU F. I., OMARI, PIERPAOLO
openaire   +3 more sources

Upper and lower solution estimates in unilateral viscoelastodynamics

Acta Mechanica, 1987
The variational and bounding method of hypercircle for linear, elliptic, boundary-value problems of mathematical physics [e.g. \textit{W. Velte}, Direkte Methoden der Variationsrechnung (1976; Zbl 0333.49035)], is extended in this paper to inequality, evolution problems of time- dependent structural mechanics.
openaire   +2 more sources

Foliations, associated reductions and lower and upper solutions

2002
In this interesting paper, the authors answer \textit{J. Mawhin}'s question [Boll. Unione Mat. Ital., VI. Ser., A 3, 229-238 (1984; Zbl 0547.34032)] in establishing the existence of a solution to the periodic boundary value problem \[ u''(t) + g(t,u(t)) = 0, \quad u(0)=u(T), \quad u'(0)=u'(T), \] for \(g\) asymptotically linear and satisfying a ...
C. De Coster, M.E. Tarallo
openaire   +1 more source

An Overview of the Method of Lower and Upper Solutions for ODEs

2001
The method of lower and upper solutions deals mainly with existence results for boundary value problems. In this presentation, we will restrict attention to second order ODE problems with separated boundary conditions. Although some of the ideas can be traced back to E.
C. De Coster, P. Habets
openaire   +1 more source

Upper and lower matrix bounds of the solution for the discrete Lyapunov equation

IEEE Transactions on Automatic Control, 1996
New, sharper, two sided matrix bounds for the solution of the discrete algebraic Lyapunov equation are derived utilizing the Rayleigh-Ritz inequality. Along with the author's 8 bounds, 16 older bounds are presented, giving a good review of the up-to-date state of the problem. The problem of ``stiffness'' of the solution is discussed.
openaire   +2 more sources

Methods of Lower and Upper Solutions

2014
Stanisław Brzychczy, Roman R. Poznanski
openaire   +1 more source

Method of Upper and Lower Weak Solutions

2022
openaire   +1 more source

Multiplicity of solutions for integral boundary value problems of fractional differential equations with upper and lower solutions

Applied Mathematics and Computation, 2014
Mei Jia
exaly  

A Variational Approach to Upper and Lower Solutions

IMA Journal of Applied Mathematics, 1990
openaire   +1 more source

Boundary value problems involving upper and lower solutions in reverse order

Journal of Computational and Applied Mathematics, 2009
Xuxin Yang
exaly