Results 211 to 220 of about 76,601 (257)
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Strong convergence theorems for weighted resolvent average of a finite family of monotone operators
2020Summary: 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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Uniform continuity and compactness for resolvent families of operators
Acta Applicandae Mathematicae, 1995The 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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Mathematical methods in the applied sciences, 2020
We investigate the unique solvability of a class of linear inverse problems with a time‐independent unknown coefficient in an evolution equation in Banach space, which is resolved with respect to the fractional Riemann‐Liouville derivative.
V. Fedorov +2 more
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We investigate the unique solvability of a class of linear inverse problems with a time‐independent unknown coefficient in an evolution equation in Banach space, which is resolved with respect to the fractional Riemann‐Liouville derivative.
V. Fedorov +2 more
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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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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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Semilinear fractional-order evolution equations of Sobolev type in the sectorial case
Complex Variables and Elliptic Equations, 2020The local unique solvability of the Cauchy-type problem to a semilinear equation in a Banach space, which is solved with respect to the highest order Riemann–Liouville derivative, is proved.
V. Fedorov, A. S. Avilovich
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On the resolvents of a family of non-self-adjoint operators
Letters in Mathematical Physics, 1976We 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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The operators of stochastic calculus
Random Operators and Stochastic EquationsWe study a family of representations of the canonical commutation relations (CCR)-algebra, which we refer to as “admissible,” with an infinite number of degrees of freedom.
Palle E. T. Jorgensen, James Tian
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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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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 a representation of the solvability set in the retention problem
, 2020The paper provides another iterative method for constructing a resolving set in the game problem of retaining the movements of an abstract dynamic system in given phase constraints.
D. Serkov
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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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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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