Operator Equations
3. Rank one solutions of some nonlinear operator equations
... some operator equations in the setting of Banach ...compact operator solutions of AX = XA have been investigated; see ...matrix equations; see ...
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Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means
... for operator connections in a natural ...to operator mono- tone functions, Borel measures, and certain operator equations are ...nonlinear operator equations involving opera- tor ...
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A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces
... nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed ...nonlinear operator equations for a mixed family of fuzzy and crisp operators and new ...
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The Solution of Binary Nonlinear Operator Equations with Applications
... binary operator equations and have obtained many con- clusions, such as references [1-3] ...contraction operator and obtain some general conclusions; some cor- responding results of references [4,5] ...
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ON A GENERALISATION OF THE FUNDAMENTAL MATRIX AND THE SOLUTION OF OPERATOR EQUATIONS
... linear operator equations that includes systems of ordinary differential equations, difference equations and fractional- order ordinary differential ...includes operator exponen- tials ...
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Hermitian solutions to the system of operator equations T_iX=U_i.
... or operator equations has long been a topic of interest because of its multiple applications in different areas as, for example in theories and applications of stability and control for discrete- time ...
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Global solutions to a class of nonlinear damped wave operator equations
... wave equations in R N with noncompactly supported initial data or in the energy space, in where the nonlinear term f(u) = |u| p or f(u) = 0 is too special; some authors [12-14] discussed the regularity of ...
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ADAPTIVE METHODS FOR SOLVING OPERATOR EQUATIONS BY USING FRAMES OF SUBSPACES
... The aim of the paper is to study the application of frames of subspaces in designing adaptive iterative methods for solving operator equations. Usually these operators are defined on a bounded domain or a ...
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Sign-changing solutions for asymptotically linear operator equations and applications
... In this paper, by using the topological degree and fixed point index theory, the existence of three kinds of solutions (i.e., sign-changing solutions, positive solutions, and negative solutions) for asymptotically linear ...
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Nonlinear random operator equations and inequalities in Banach spaces
... In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces.. A random Hammerstein integral eq[r] ...
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Regularization of linear operator equations
... cr 2 may be a good estimate for large From but is much cr 2 CHOICE OF THE REGULARIZATION PARAMETER - NUMERICAL RESULTS Even when the optimal order of regularization has been obtained for[r] ...
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Steepest descent for generalised and regularised solution of linear operator equations
... The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item.. Where records identify the[r] ...
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Projection solutions of Frobenius Perron operator equations
... In this paper, we propose the first order and second order piecewise polynomial approximation schemes for the computation of fixed points of Frobenius-Perron operators, based on the Gale[r] ...
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Existence of solutions for a class of operator equations
... monotone operator principle and the critical point theory, some new existence theorems on unique, at least one nontrivial and infinitely many solutions were ...
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On solving Lipschitz pseudocontractive operator equations
... We analyze the convergence of the Mann-type double sequence iteration process to the solution of a Lipschitz pseudocontractive operator equation on a bounded closed convex subset of arbitrary real Banach space ...
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Cyclic Operator Decomposition for Solving the Differential Equations
... linear operator equations for unknown functions and, in particular, the differential ...these equations, which include finite combinations of elementary operations and special functions, are known ...
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Singular degenerate problems occurring in biosorption process
... Boundary value problems (BVPs) for differential-operator equations (DOEs) in H-valued (Hilbert space valued) function spaces have been studied extensively by many researchers (see, e.g., [–] and the ...
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Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations
... In the light of the above examined writing, the present study concentrates on establish- ing the uniqueness and existence criteria of solutions of the nonlinear C-FFDE. Also, we demonstrate the effectiveness of the ...
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Solution of Nuclear Electrodynamics Equations Taking into Account β﹣ Charged Eradiation
... the γ -eradiation). Radioactive instability of the fission splinters in one’s turn leads to peculiar and simultaneously enough intricate deformation of the fields electromagnetic equations and the motion of these ...
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Positive solutions of functional difference equations with p Laplacian operator
... Recently, the existence of positive solutions of finite difference equations with different boundary value conditions is investigated in [1–5] and references therein. In this paper, we consider the functional ...
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