Results 31 to 40 of about 2,094 (218)
Study Strong Convergence and Acceleration of New Iteration Type Three – Step
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The aim of this article, we define new iterative methods called three-step type in which Jungck resolvent CR-iteration and resolvent Jungck SP-iteration are discussed and study rate convergence and strong convergence in Banach space to reach the fixed ...
Zena H. Maibed, Alaa M. Al-Hameedwi
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Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions.
R. Bader, W. Merz
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Nonlinear evolution equations on Banach space [PDF]
International Journal of Stochastic Analysis, 1991 In this paper we consider the questions of existence and uniqueness of solutions of certain semilinear and quasilinear evolution equations on Banach space. We consider both deterministic and stochastic systems. The approach is based on semigroup theory and fixed point theorems.
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Advances in Difference Equations, 2019 In this paper, by employing fixed point theory, we investigate the existence and uniqueness of solutions for a class of nonlinear fractional integro-differential equations on semi-infinite domains in a Banach space.
Peiguo Zhang, Xinan Hao, Lishan Liu
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A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces
Abstract and Applied Analysis, 2013 We study a class of nonlinear fractional integrodifferential equations with p-Laplacian operator in Banach space. Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional p-Laplacian equations ...
Yiliang Liu, Liang Lu
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Solutions of fractional nabla difference equations - existence and uniqueness [PDF]
Opuscula Mathematica, 2016 In this article, we discuss existence, uniqueness and dependency of solutions of nonlinear fractional nabla difference equations in a Banach space equipped with a suitable norm, using the contractive mapping approach. As an application of the established
Jagan Mohan Jonnalagadda
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Simplification method for nonlinear equations of monotone type in Banach space
Журнал Средневолжского математического общества, 2021 In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
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Generalizations of the Lax-Milgram Theorem
Boundary Value Problems, 2007 We prove a linear and a nonlinear generalization of the Lax-Milgram theorem. In particular, we give sufficient conditions for a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded linear ...
Dimosthenis Drivaliaris +1 more
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On a nonlinear Volterra integrodifferential equation in Banach spaces [PDF]
Mathematical Inequalities & Applications, 2006 The paper deals with the equation: \[ x'(t) = A x(t) + \int_0^t\{ a(t,\, s) f(s,\, x(s)) + g(t,s,x(s))\} ds + f_0(t),\; t\geq 0, \] in a Banach space with graph norm. Here, \(A\) is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators and \(a,\,f,\, g\) and \(f_0\) are continuous functions with some additional ...
Dhakne, M. B., Kendre, S. D.
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Оценки разностей решений нелинейных интегральных уравнений в банаховом пространстве [PDF]
Проблемы анализа, 2005 В работе получены оценки разности решений нелинейных интегральных уравнений в пространстве Банаха.In this paper we consider estimations of difference of nonlinear integral equations in Banach space.
Мосягин В. В.
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