Results 51 to 60 of about 993,184 (218)
The authors give the definition of nonlinear rotative semigroup \((| x-s(p)x| \leq ap| Ax|\), \(x\in D(A)\), \(p>0 ...
Plant, Andrew T., Reich, Simeon
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Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes +3 more
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Green index in semigroups : generators, presentations and automatic structures [PDF]
The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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Robust observability for regular linear systems under nonlinear perturbation
In this article, we consider the admissibility and exact observability of a class of semilinear systems obtained by nonlinear perturbation for regular linear systems.
Weisheng Jiang, Bin Liu, Zhibing Zhang
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A recent nonlinear alternative for multivalued contractions in Fréchet spaces thanks to Frigon fixed point theorem consolidated with semigroup theory is utilized to examine the existence results for fractional neutral integrodifferential inclusions ...
Selvaraj Suganya +3 more
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Electron transport is studied between carbon atoms in the open graphene, while assuming bands to be collective states of electrons in the presence of lattice atoms. To describe dissipative effects, non‐Hermitian extension of the band Hamiltonian is proposed, which models spontaneous emission or injection.
Konstantin G. Zloshchastiev
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On approximation by semigroups of nonlinear contractions, I
AbstractThis note is a sequel to the preceding one with the same title published in this Journal (13, 205–217 (1975)). The contents of the first paper are assumed to be known. References are in alphabetical order in each paper, but they, as well as the sections, are numbered consecutively.
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A class of one-parameter nonlinear semigroups with differentiable approximating semigroups [PDF]
Suppose that T is a strongly continuous semigroup of transformations on a subset C of a Banach space X . For
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Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
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