Results 71 to 80 of about 993,184 (218)

Multivalued evolution equations with infinite delay in Fréchet spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay ...
Selma BAGHLI-BENDIMERAD, Mouffak Benchohra   +1 more
doaj   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions [PDF]

, 2008
It is known that, for semigroups, the property of admitting a finite presentation is preserved on passing to subsemigroups and extensions of finite Rees index.
Cain, Alan James, Ruskuc, Nik, Robertson, Edmund Frederick   +2 more
core   +1 more source

Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot, Hongliang Li, David Manceau   +2 more
wiley   +1 more source

The semigroup of combinatorial configurations

, 2011
We elaborate on the existence and construction of the so-called combinatorial configurations. The main result is that for fixed degrees the existence of such configurations is given by a numerical semigroup.
Bras-Amorós, Maria,, Klara Stokes, Maria Bras-Amorós, Stokes, Klara,   +3 more
core   +1 more source

The formal Laplace-Borel transform of Fliess operators and the composition product

International Journal of Mathematics and Mathematical Sciences, 2006
The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
doaj   +1 more source

Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
wiley   +1 more source

Semigroup actions on posets and preimage quasi-orders

, 2012
Structures consisting of a semigroup of (partial) functions on a set X, a poset of subsets of X, and a preimage operation linking the two, arise commonly throughout mathematics.
Stokes, Tim E.
core   +1 more source

Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup

Abstract and Applied Analysis, 2012
This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup. We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in ...
He Yang
doaj   +1 more source

Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces [PDF]

Archives of Control Sciences
In this paper, we prove the controllability of mild solutions of neutral functional evolution equations with state-dependent delay and nonlocal conditions. We establish the non local controllability of mild solutions under certain conditions by combining
Chahrazed Boudefla, Selma Baghli-Bendimerad   +1 more
doaj   +1 more source