A Construction of Stable Subharmonic Orbits in Monotone Time-periodic Dynamical Systems.
Page 1 Next
Takác, Peter (1993)
Monatshefte für Mathematik
A. G. Ramm (2009)
Annales Polonici Mathematici
A simple proof is given of a basic surjectivity result for monotone operators. The proof is based on the dynamical systems method (DSM).
Zafer Ercan (1999)
Czechoslovak Mathematical Journal
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
Reich, Simeon, Zaslavski, Alexander J. (2005)
Fixed Point Theory and Applications [electronic only]
Peter Hess (1972)
Mathematische Zeitschrift
I. Bremer, Klaus R. Schneider (1990)
Aplikace matematiky
In order to save CPU-time in solving large systems of equations in function spaces we decompose the large system in subsystems and solve the subsystems by an appropriate method. We give a sufficient condition for the convergence of the corresponding procedure and apply the approach to differential algebraic systems.
Valter Šeda (1987)
Archivum Mathematicum
Rudolf L. Voller (1992)
Applications of Mathematics
In this paper we present a new theorem for monotone including iteration methods. The conditions for the operators considered are affine-invariant and no topological properties neither of the linear spaces nor of the operators are used. Furthermore, no inverse-isotony is demanded. As examples we treat some systems of nonlinear ordinary differential equations with two-point boundary conditions.
Gerd Herzog (2010)
Annales Polonici Mathematici
We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.
Valter Šeda (1981)
Czechoslovak Mathematical Journal
Mirosława Zima (1995)
Commentationes Mathematicae Universitatis Carolinae
In the paper [13] we proved a fixed point theorem for an operator , which satisfies a generalized Lipschitz condition with respect to a linear bounded operator , that is: The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator .
Dhage, B.C., O'Regan, Donal, Agarwal, Ravi P. (2003)
Journal of Applied Mathematics and Stochastic Analysis
Andrew D. Burbanks, Colin T. Sparrow, Roger D. Nussbaum (2003)
Kybernetika
Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have at least...
Peter Wilhelm Meyer (1984)
Numerische Mathematik
Collatz, Lothar (1986)
Equadiff 6
Seppo Heikkilä, Guoju Ye (2012)
Applications of Mathematics
A fixed point theorem in ordered spaces and a recently proved monotone convergence theorem are applied to derive existence and comparison results for solutions of a functional integral equation of Volterra type and a functional impulsive Cauchy problem in an ordered Banach space. A novel feature is that equations contain locally Henstock-Kurzweil integrable functions.
Christopher S. Goodrich (2013)
Commentationes Mathematicae Universitatis Carolinae
We consider the existence of at least one positive solution to the dynamic boundary value problem where is an arbitrary time scale with and satisfying , , , , and where the boundary conditions at and can be both nonlinear and nonlocal. This extends some recent results on second-order semipositone dynamic boundary value problems, and we illustrate these extensions with some examples.
Mabel Cuesta Leon (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Ding, Hui-Sheng, Liang, Jin, Xiao, Ti-Jun (2010)
Fixed Point Theory and Applications [electronic only]
Cui, Yujun, Zhang, Xingqiu (2010)
Fixed Point Theory and Applications [electronic only]
Page 1 Next