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Impulsive Reaction-Diffusion Delayed Models in Biology: Integral Manifolds Approach [PDF]

open access: yesEntropy, 2021
In this paper we study an impulsive delayed reaction-diffusion model applied in biology. The introduced model generalizes existing reaction-diffusion delayed epidemic models to the impulsive case.
Gani Stamov   +2 more
doaj   +5 more sources

Integral Formulas for Almost Product Manifolds and Foliations

open access: yesMathematics, 2022
Integral formulas are powerful tools used to obtain global results in geometry and analysis. The integral formulas for almost multi-product manifolds, foliations and multiply twisted products of Riemannian, metric-affine and sub-Riemannian manifolds, to ...
Vladimir Rovenski
doaj   +2 more sources

Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations

open access: yesMathematics, 2020
The present paper introduces the concept of integral manifolds for a class of delayed impulsive neural networks of Cohen–Grossberg-type with reaction–diffusion terms.
Gani Stamov   +4 more
doaj   +3 more sources

Impulsive Delayed Lasota–Wazewska Fractional Models: Global Stability of Integral Manifolds

open access: yesMathematics, 2019
In this paper we deal with the problems of existence, boundedness and global stability of integral manifolds for impulsive Lasota−Wazewska equations of fractional order with time-varying delays and variable impulsive perturbations. The main results
Gani Stamov, Ivanka Stamova
doaj   +3 more sources

Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$ [PDF]

open access: yesJournal of Nonsmooth Analysis and Optimization, 2022
We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures.
Daniel Wachsmuth, Gerd Wachsmuth
doaj   +1 more source

Nearly Sasakian Manifolds of Constant Type

open access: yesAxioms, 2022
The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the nearly Sasakian manifold is a ...
Aligadzhi Rustanov
doaj   +1 more source

Certain Class of Almost α-Cosymplectic Manifolds

open access: yesJournal of Mathematics, 2021
This paper concerned with almost α-cosymplectic manifolds satisfying conformally flat condition. Firstly, we investigate Kaehler integral submanifolds of almost α-cosymplectic manifolds.
Sermin Öztürk, Hakan Öztürk
doaj   +1 more source

Integral invariants of {3}-manifolds [PDF]

open access: yesJournal of Differential Geometry, 1998
This note describes an invariant of rational homology 3-spheres in terms of configuration space integrals which in some sense lies between the invariants of Axelrod and Singer and those of Kontsevich.
Bott, Raoul, Cattaneo, Alberto S.
openaire   +5 more sources

Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate

open access: yesВестник Самарского университета: Естественнонаучная серия, 2023
The purpose of this work is to reduce the singularly perturbed system of kinetics of a suicidal substrate. Methods of decomposition and integral manifolds are used. The dimension of the original problem is reduced.
Mikhail A. Smetannikov
doaj   +1 more source

Surgery and the relative index in elliptic theory

open access: yesAbstract and Applied Analysis, 2006
This is a survey article featuring the general index locality principle introduced by the authors, which can be used to obtain index formulas for elliptic operators and Fourier integral operators in various situations, including operators on stratified ...
V. E. Nazaikinskii, B. Yu. Sternin
doaj   +2 more sources

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