Results 11 to 20 of about 299 (57)
Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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Interpolation of nonlinear maps [PDF]
, 2014 Let $(X_0, X_1)$ and $(Y_0, Y_1)$ be complex Banach couples and assume that $X_1\subseteq X_0$ with norms satisfying $\|x\|_{X_0} \le c\|x\|_{X_1}$ for some $c > 0$.
Kappeler, T. +3 more
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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
wiley +1 more source
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
wiley +1 more source
Nonlinear differential inequality [PDF]
, 2010 A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to
Hoang, N. S., Ramm, A. G.
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Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach [PDF]
, 2013 We investigate a class of bivariate coagulation-fragmentation equations. These equations describe the evolution of a system of particles that are characterised not only by a discrete size variable but also by a shape variable which can be either discrete
A. C. McBride +15 more
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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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A Maximal Inequality for $p$th Power of Stochastic Convolution Integrals [PDF]
, 2015 An inequality for the $p$th power of the norm of a stochastic convolution integral in a Hilbert space is proved. The inequality is stronger than analogues inequalities in the Literature in the sense that it is pathwise and not in expectation.
Salavati, Erfan, Zangeneh, Bijan Z.
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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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A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]
, 2014 We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana +2 more
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