Results 1 to 10 of about 1,287,488 (289)

Convergence Analysis for Yosida Variational Inclusion Problem with Its Corresponding Yosida Resolvent Equation Problem through Inertial Extrapolation Scheme

open access: yesMathematics, 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
doaj   +2 more sources

Properties of the resolvent of a linear Abel integral equation: implications for a complementary fractional equation [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
New and known properties of the resolvent of the kernel of linear Abel integral equations of the form \begin{equation} \tag{A$_\lambda$} x(t) = f(t) - \lambda \int_0^t (t - s)^{q-1}x(s)\,ds, \end{equation} where $\lambda > 0$ and $q \in (0,1)$, are ...
Leigh Becker
doaj   +3 more sources

On generalized Yosida inclusion problem with application

open access: yesResults 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
doaj   +1 more source

A Complete Review of the General Quartic Equation with Real Coefficients and Multiple Roots

open access: yesMathematics, 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
doaj   +1 more source

On the Practicality of the Analytical Solutions for all Third- and Fourth-Degree Algebraic Equations with Real Coefficients

open access: yesMathematics, 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
doaj   +1 more source

Convergence Analysis for Generalized Yosida Inclusion Problem with Applications

open access: yesMathematics, 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
doaj   +1 more source

THE TWO-SIDED ESTIMATES OF THE FREDHOLM RADIUS AND COMPACTNESS CONDITIONS FOR THE OPERATOR ASSOCIATED WITH A SECOND-ORDER DIFFERENTIAL EQUATION

open access: yesВестник 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
doaj   +1 more source

Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings

open access: yesJournal of Inequalities and Applications, 2020
In the setting of real ordered positive Hilbert spaces, a nonlinear fuzzy ordered variational inclusion problem with its corresponding nonlinear fuzzy ordered resolvent equation problem involving XOR operation has been recommended and solved by employing
Iqbal Ahmad   +3 more
doaj   +1 more source

Results on existence of solutions in nonlocal partial functional integrodifferential equations with finite delay in nondense domain

open access: yesAlexandria Engineering Journal, 2023
In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]

open access: yesOpuscula Mathematica, 2015
The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
doaj   +1 more source

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