Results 11 to 20 of about 1,093 (183)
Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, 2007 We prove two existence theorems for the integrodifferential equation of mixed type:x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds),x(0)=x0, where in the first part of this paperf, g, h, xare functions with values in a Banach spaceEand integrals are taken in the sense of Henstock-Kurzweil (HK).
Aneta Sikorska-Nowak +1 more
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Boundary Controllability of Nonlinear Fractional Integrodifferential Systems
Advances in Difference Equations, 2010 Sufficient conditions for boundary controllability of nonlinear fractional integrodifferential systems in Banach space are established. The results are obtained by using fixed point theorems.
Hamdy M. Ahmed
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Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
Abstract and Applied Analysis, 2016 We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
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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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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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Journal of Function Spaces and Applications, 2007 In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro-differential equations of Volterra type on finite interval in Banach spaces and for the ...
Jiang Zhu, Yajuan Yu, Vasile Postolica
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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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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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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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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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