Results 201 to 210 of about 76,360 (233)

Strong convergence theorems for weighted resolvent average of a finite family of monotone operators

2020
Summary: This paper is devoted to finding a zero point of a weighted resolvent average of a finite family of monotone operators. A new proximal point algorithm and its convergence analysis is given. It is shown that the sequence generated by this new algorithm, for a finite family of monotone operators converges strongly to the zero point of their ...
Bagheri, Malihe, Roohi, Mehdi
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On Generation of Family of Resolving Operators for a Distributed Order Equation Analytic in Sector

Journal of Mathematical Sciences, 2022
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Uniform continuity and compactness for resolvent families of operators

Acta Applicandae Mathematicae, 1995
The author studies the following Volterra convolution equation \[ V_A u(t):= u(t)- \int^t_0 k(t- s)Au (s) ds= f(t), \qquad t\in J:= [0,T ] \] where \(X\) is a Banach space, \(A\) a densely defined closed operator on \(X\), and \(k\in L^1_{\ell x} (\mathbb{R}_+)\).
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Properties of solution sets for Sobolev type fractional differential inclusions via resolvent family of operators

The European Physical Journal Special Topics, 2017
In this manuscript, by properties on some corresponding resolvent operators and techniques in multivalued analysis, we establish some results for solution sets of Sobolev type fractional differential inclusions in the Caputo and Riemann-Liouville fractional derivatives with order 1 < α < 2, respectively.
Yong-Kui Chang, Rodrigo Ponce
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On the resolvents of a family of non-self-adjoint operators

Letters in Mathematical Physics, 1976
We study the resolvents of a specific family of nonself-adjoint operators. This family of non-self-adjoint operators played a role in the proof of an extended version of a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators. We make essential use of the JWKB-approximation method.
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On Analytical in a Sector Resolving Families of Operators for Strongly Degenerate Evolution Equations of Higher and Fractional Orders

Journal of Mathematical Sciences, 2019
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Fedorov, V. E., Romanova, E. A.
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Abstract Volterra Integro-Differential Equations: Approximation and Convergence of Resolvent Operator Families

Numerical Functional Analysis and Optimization, 2014
In this article, we analyze approximation and convergence of resolvent operator families associated with various types of abstract Volterra equations and abstract multi-term fractional differential equations in locally convex spaces.
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On the ‐boundedness of solution operator families of the generalized Stokes resolvent problem in an infinite layer

Mathematical Methods in the Applied Sciences, 2014
AbstractIn this paper, we prove the ‐boundedness of solution operator families of the generalized Stokes resolvent problem in an infinite layer with resolvent parameter , where , and our boundary conditions are nonhomogeneous Neumann on upper boundary and Dirichlet on lower boundary.
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GENERATION OF STRONGLY CONTINUOUS RESOLVING FAMILIES OF OPERATORSFOR EQUATIONS WITH A DISTRIBUTED DERIVATIVE

Челябинский физико-математический журнал
Conditions for a linear closed operator are obtained in terms of the location of its resolvent set and estimates for its resolvent and its derivatives, which are necessary and sufficient to generate a strongly continuous resolving family of operators by this operator.
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Linear Equations with Distributed Riemann–Liouville Derivatives Given by Stieltjes Integrals and Their Analytic Resolving Families of Operators

Lobachevskii Journal of Mathematics, 2023
Fedorov, V. E., Abdrakhmanova, A. A.
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