A class of singularly perturbed evolution systems.
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Displaying 1 – 20 of 421
A contribution to the theory of stability of differential equations in Banach space
Jiří Neustupa (1979)
Czechoslovak Mathematical Journal
A dynamical system in a Hilbert space with a weakly attractive nonstationary point
Ivo Vrkoč (1993)
Mathematica Bohemica
A differential equation is a Hilbert space with all solutions bounded but with so finite nontrivial invariant measure is constructed. In fact, it is shown that all solutions to this equation converge weakly to the origin, nonetheless, there is no stationary point. Moreover, so solution has a non-empty -set.
A functional differential equation in Banach spaces
Mostafa, Nasr (1998)
Proceedings of Equadiff 9
A global continuation theorem for obtaining eigenvalues and bifurcation points
Milan Kučera (1988)
Czechoslovak Mathematical Journal
A Kneser-type theorem for the equation in locally convex spaces.
Szukała, A. (1999)
Zeitschrift für Analysis und ihre Anwendungen
A linear condition determining local or global existence for nonlinear problems
John Neuberger, John Neuberger, James Swift (2013)
Open Mathematics
Given a nonlinear autonomous system of ordinary or partial differential equations that has at least local existence and uniqueness, we offer a linear condition which is necessary and sufficient for existence to be global. This paper is largely concerned with numerically testing this condition. For larger systems, principals of computations are clear but actual implementation poses considerable challenges. We give examples for smaller systems and discuss challenges related to larger systems. This...
A Massera type criterion for a partial neutral functional differential equation.
Hernández M., Eduardo (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A multiplicity fixed point theorem in Fréchet spaces.
O'Regan, D. (2000)
Zeitschrift für Analysis und ihre Anwendungen
A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities.
Lair, Alan V. (1990)
International Journal of Mathematics and Mathematical Sciences
A new a priori estimate for multi-point boundary-value problem.
Gupta, Chaitan P. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A non-linear hyperbolic equation.
Henriques de Brito, Eliana (1980)
International Journal of Mathematics and Mathematical Sciences
A note on differential and integral equations in locally convex spaces
Daria Bugajewska, Dariusz Bugajewski (2000)
Archivum Mathematicum
A note on the periods of periodic solutions of some autonomous functional differential equations.
Ronto, Andrei (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
A periodic boundary value problem in Hilbert space
Boris Rudolf (1994)
Mathematica Bohemica
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.
A principle of linearization in theory of stability of solutions of variational inequalities
Jiří Neustupa (1995)
Mathematica Bohemica
It is shown that the uniform exponential stability and the uniform stability at permanently acting disturbances of a sufficiently smooth but not necessarily steady-state solution of a general variational inequality is a consequence of the uniform exponential stability of a zero solution of another (so called linearized) variational inequality.
A priori estimates for the existence of a solution for a multi-point boundary value problem.
Gupta, Chaitan P., Trofimchuk, Sergei (2000)
Journal of Inequalities and Applications [electronic only]
A remark about a Galerkin method
Gerhard Ströhmer (1996)
Banach Center Publications
It is shown that the approximating equations whose existence is required in the author's previous work on partially regular weak solutions can be constructed without any additional assumption about the equation itself. This leads to a variation of a Galerkin method.
A second-order impulsive Cauchy problem.
Hernández Morales, Eduardo (2002)
International Journal of Mathematics and Mathematical Sciences
A theorem about Carathéodory's superposition
Zbigniew Grande (1992)
Mathematica Slovaca
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