Results 61 to 70 of about 1,584 (227)

Finite element approximation for degenerate parabolic equations. An application of nonlinear semigroup theory

open access: yes, 2005
Finite element approximation for degenerate parabolic equations is considered. We propose a semidiscrete scheme provided with order-preserving and L1 contraction properties, making use of piecewise linear trial functions and the lumping mass ...
Norikazu Saito   +5 more
core   +1 more source

Linear systems and determinantal random point fields. [PDF]

open access: yes, 2008
Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
core   +1 more source

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

open access: yesInternational 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

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

Convergence of Difference Approximations and Nonlinear Semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
We give a convergence theorem for the difference approximation for the evolution equation ( d /
openaire   +3 more sources

The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction–diffusion equations

open access: yes, 2005
In this paper, first, we introduce a new concept, called the norm-to-weak continuous semigroup in a Banach space, and give a technical theorem to verify this notion of continuity.
Chun-You Sun   +5 more
core   +1 more source

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

open access: yesAbstract 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]

open access: yesArchives 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   +1 more
doaj   +1 more source

On the Solution Structure of Sequential φ‐Hilfer Fractional Differential Equations With p‐Laplacian Operator

open access: yesComputational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This work researches in a class of φ‐Hilfer FDEs with p‐Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed‐point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical
Mohammed Kaid   +6 more
wiley   +1 more source

Approximate Controllability of Fractional Integrodifferential Evolution Equations

open access: yesJournal of Applied Mathematics, 2013
This paper addresses the issue of approximate controllability for a class of control system which is represented by nonlinear fractional integrodifferential equations with nonlocal conditions.
R. Ganesh   +3 more
doaj   +1 more source

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