Results 1 to 10 of about 27,208 (276)
Mathematics, 2023 In this paper, we study a Yosida variational inclusion problem with its corresponding Yosida resolvent equation problem. We mention some schemes to solve both the problems, but we focus our study on discussing convergence criteria for the Yosida ...
Arvind Kumar Rajpoot +4 more
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Nonlinear diffusion in transparent media: the resolvent equation [PDF]
Advances in Calculus of Variations, 2017 We consider the partial differential equation $$ u-f={\rm div}\left(u^m\frac{\nabla u}{|\nabla u|}\right) $$ with $f$ nonnegative and bounded and $m\in\mathbb{R}$.
Giacomelli, Lorenzo +2 more
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GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
Проблемы анализа, 2018 We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗0. We prove that every generalized resolvent of L0 is an integral operator and give a description of boundary ...
V. M. Bruk
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Resolvent estimates for 2-dimensional perturbations of plane Couette flow
Electronic Journal of Differential Equations, 2002 We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow.
Pablo Braz e Silva
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On generalized Yosida inclusion problem with application
Results in Control and Optimization, 2023 Herein, a generalized Yosida inclusion problem involving Φ-relaxed co-accretive mapping is investigated. The resolvent and analogous generalized Yosida approximation operator is explicated and its characteristics are outlined.
Mohammad Akram
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A Complete Review of the General Quartic Equation with Real Coefficients and Multiple Roots
Mathematics, 2022 This paper presents a general analysis of all the quartic equations with real coefficients and multiple roots; this analysis revealed some unknown formulae to solve each kind of these equations and some precisions about the relation between these ones ...
Mauricio Chávez-Pichardo +4 more
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Mathematics, 2023 In order to propose a deeper analysis of the general quartic equation with real coefficients, the analytical solutions for all cubic and quartic equations were reviewed here; then, it was found that there can only be one form of the resolvent cubic that ...
Mauricio Chávez-Pichardo +4 more
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Convergence Analysis for Generalized Yosida Inclusion Problem with Applications
Mathematics, 2023 A new generalized Yosida inclusion problem, involving A-relaxed co-accretive mapping, is introduced. The resolvent and associated generalized Yosida approximation operator is construed and a few of its characteristics are discussed.
Mohammad Akram +4 more
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Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider the properties of the resolvent of a linear operator corresponding to a degenerate singular second-order differential equation with variable coefficients, considered in the Lebesgue space.
K. N. Ospanov, A. N. Yesbayev
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Resolvents, integral equations, limit sets [PDF]
Mathematica Bohemica, 2010 Summary: We study a linear integral equation \(x(t)=a(t)-\int ^t_0 C(t,s) x(s)\, \text{d}s\), its resolvent equation \(R(t,s)=C(t,s)-\int ^t_s C(t,u)R(u,s)\,\text{d}u\), the variation of parameters formula \(x(t)=a(t)-\int ^t_0 R(t,s)a(s)\, \text{d}s\) and a perturbed equation.
Burton, T. A., Dwiggins, D. P.
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