Results 11 to 20 of about 44 (44)
A Determining Form for a Nonlocal System
Advanced Nonlinear Studies, 2017 This work is concerned with constructing a finite dimensional form (named determining form) by adding a feedback control term through an interpolation operator. The dynamics of the determining form is consistent with those of the original system.
Bai Lu, Yang Meihua
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Integrodifferential evolution systems with nonlocal initial conditions
, 2020 The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on ...
PRECUP, Radu, KOUMLA, Sylvain
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Convergence of functionals and its applications to parabolic equations
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 907-933, 2004., 2004 Asymptotic behavior of solutions of some parabolic equation associated with the p‐Laplacian as p → +∞ is studied for the periodic problem as well as the initial‐boundary value problem by pointing out the variational structure of the p‐Laplacian, that is, ∂φp(u) = −Δpu, where φp : L2(Ω) → [0, +∞]. To this end, the notion of Mosco convergence is employed
Goro Akagi
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Bounded solutions of nonlinear Cauchy problems
Abstract and Applied Analysis, Volume 7, Issue 12, Page 637-661, 2002., 2002 For a given closed and translation invariant subspace Y of the bounded and uniformly continuous functions, we will give criteria for the existence of solutions u ∈ Y to the equation u′(t) + A(u(t)) + ωu(t)∍f(t), t ∈ ℝ, or of solutions u asymptotically close to Y for the inhomogeneous differential equation u′(t) + A(u(t)) + ωu(t)∍f(t), t > 0, u(0) = u0,
Josef Kreulich
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Advances in Nonlinear Analysis, 2016 We present sufficient conditions on the existence of solutions, with various specific almost periodicity properties, in the context of nonlinear, generally multivalued, non-autonomous initial value differential equations,
Kreulich Josef
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On nonlinear evolution equation of second order in Banach spaces
Open Mathematics, 2018 Here we study the existence of a solution and also the behavior of the existing solution of the abstract nonlinear differential equation of second order that, in particular, is the nonlinear hyperbolic equation with nonlinear main parts, and in the ...
Soltanov Kamal N.
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Transformation of p-gradient flows to p′-gradient flows in metric spaces
Analysis and Geometry in Metric SpacesWe explicitly construct parameter transformations between gradient flows in metric spaces, called curves of maximal slope, having different exponents when the associated function and the associated metric space satisfy a suitable convexity condition ...
Shimoyama Sho
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Mathematical and Computer Modelling of Dynamical SystemsThis paper investigates the controllability of semilinear neutral stochastic Atangana-Baleanu (AB) Caputo fractional differential equations (FDEs) under integral boundary conditions with impulses.
Sadam Hussain +5 more
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On some differential inclusions with anti-periodic solutions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we investigate a class of second- and first-order differential inclusions, along with an algebraic inclusion, all subject to anti-periodic boundary conditions in a real Hilbert space.
Vîntu Ioan Vladimir
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Model of phenotypic evolution in hermaphroditic populations. [PDF]
J Math Biol, 2015 Rudnicki R, Zwoleński P.
europepmc +1 more source