Results 191 to 200 of about 2,094 (218)

Nonlinear perturbation of linear evolution equations in a banach space

Annali di Matematica Pura ed Applicata, 1976
Let X be a Banach space and {A(t)|t e [0, T]} a family of closed linear, densely defined m-accretive operators in X. This paper is concerned with the additive perturbation of {A(t)|t e [0, T]} by a continuous family of nonlinear accretive operators {B(t)|t e [0, T]}.
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Modified Noor iterations for nonlinear equations in Banach spaces

Applied Mathematics and Computation, 2006
The author proposes and analyzes a three-step iterative scheme for solving nonlinear linear operator equations in Banach spaces. His results can be viewed as an extension of three-step and two-step iterative schemes of Glowinski, Le Tallec, Noor and Ishikawa.
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Iterative solutions of nonlinear equations in smooth banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 1996
This article presents a small survey of results about the solvability and convergence of different iterative schemes for equations \(Tx=f\) with a uniformly continuous and strongly pseudocontractive operator \(T\) which maps a nonempty closed bounded and convex set \(K\) in a real Banach space \(E\) into itself.
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Nonlinear evolution equations in an arbitrary Banach space

Israel Journal of Mathematics, 1977
This paper proves the existence of an evolution operatorU(t, s)x 0 corresponding to a weak or generalized solution of the differential equation:du (t)/dt +A (t)u(t) ∋ f(t), u(s) =x 0,t ≧ s; the operatorsA(t) are eachm-accretive in a Banach spaceX and, loosely speaking, have an “L1 modulus of continuity ...
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Method of monotonization of nonlinear equations in Banach spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1988
Let E be a Banach space with a proper cone, A:E\(\to E\) be a linear bounded operator, and F:E\(\to E\) be a continuous operator. The author suggests a method of two-sided successive approximations for the equation \(u=AF(u)\) of the following form \[ u^{n+1}=(I+\lambda A)^{-1}A(F(u^ n)+\lambda u^ n),\quad u^ 0=\sigma^+,\quad u_{n+1}=(I+\lambda A)^{-1 ...
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Nonlinear Impulsive Integral Equations in Banach Spaces

1996
The theory of impulsive integral equations is a new branch of integral equations, and it is closely connected with the theory of impulsive differential equations. This chapter is devoted to nonlinear impulsive integral equations in Banach spaces.
Dajun Guo, V. Lakshmikantham, Xinzhi Liu
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Nonlinear Integro-Differential Equations in Banach Spaces

1996
This chapter is devoted to nonlinear integro-differential equations in Banach spaces including first order equations and second order equations.
Dajun Guo, V. Lakshmikantham, Xinzhi Liu
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Nonlinear integrodifferential equations in a Banach space

2011
Si prova un risultato di esistenza per una classe di equazioni integrodifferenziali del tipo \[ \left[u'(t)+Au(t)\right]\cap\int_{0}^{t}k(t-s)F(s,u(s))ds\neq\textrm{Ø},0\leq t\leq T \] \[ u(0)=u_{0} \] dove A è un operatore m-accretivo su uno spazio di Banach reale x con risolvente (I+$\lambda$a)$^{-1}$ compatto per ogni $\lambda$>0, k:$\left[0,T\right]
Mitidieri, Enzo, Vrabie, Ioan I.
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Existence of Bounded Solutions of Nonlinear Difference Equations in Banach Spaces

Journal of Mathematical Sciences, 2014
Sufficient conditions for the existence of bounded solutions of the nonlinear difference equations \[ x(n+1)=F(n,x(n))x(n)+f(n), \quad n\in \mathbb Z, \] in a Banach space are established. An example is also given.
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Nonlinear stability of θ-methods for neutral differential equations in Banach space

Applied Mathematics and Computation, 2008
Wansheng Wang, Liping Wen, Shoufu Li
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