Results 1 to 10 of about 844 (219)

An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS).
Bivas Dinda, Santanu Ghosh, Tapas Samanta   +2 more
doaj   +1 more source

A Note on Approximate Controllability of Fractional Semilinear Integrodifferential Control Systems via Resolvent Operators

Fractal and Fractional, 2022
This article primarily focuses on the approximate controllability of fractional semilinear integrodifferential equations using resolvent operators. Two alternative sets of necessary requirements have been studied.
Velusamy Vijayakumar, Kottakkaran Sooppy Nisar, Dimplekumar Chalishajar, Anurag Shukla, Muslim Malik, Ateq Alsaadi, Saud Fahad Aldosary   +6 more
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THE TWO-SIDED ESTIMATES OF THE FREDHOLM RADIUS AND COMPACTNESS CONDITIONS FOR THE OPERATOR ASSOCIATED WITH A SECOND-ORDER DIFFERENTIAL EQUATION

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
doaj   +1 more source

Abstract Impulsive Volterra Integro-Differential Inclusions

Fractal and Fractional, 2023
In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions.
Wei-Shih Du, Marko Kostić, Daniel Velinov   +2 more
doaj   +1 more source

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

Alexandria 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, K. Munusamy, C. Ravichandran   +2 more
doaj   +1 more source

On One Method of Studying Spectral Properties of Non-selfadjoint Operators

Abstract and Applied Analysis, 2020
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
doaj   +1 more source

Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions

Journal of Function Spaces, 2021
This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established ...
Xue Wang, Bo Zhu
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Resolvent Positive Operators and Positive Fractional Resolvent Families

Journal of Function Spaces, 2021
This paper is concerned with positive α-times resolvent families on an ordered Banach space E (with normal and generating cone), where ...
Nan-Ding Li, Ru Liu, Miao Li
doaj   +1 more source

Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces

Mathematics, 2019
The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
doaj   +1 more source

On some local spectral theory and bounded local resolvent of operator matrices [PDF]

Mathematica Bohemica, 2018
We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries.
Abdelaziz Tajmouati, Abdeslam El Bakkali, Mohammed Karmouni   +2 more
doaj   +1 more source