Results 11 to 20 of about 457,280 (245)

(F, G, C)-Resolvent Operator Families and Applications

open access: yesMathematics, 2023
In this paper, we introduce and investigate several new classes of (F,G,C)-regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces.
Vladimir E. Fedorov, Marko Kostić
doaj   +2 more sources

Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential [PDF]

open access: yesAbstract and Applied Analysis, 2016
A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
doaj   +2 more sources

A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]

open access: yes, 2009
In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the ...
Shi, Chaofeng
core   +6 more sources

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

open access: yesSahand 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   +2 more
doaj   +1 more source

Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators [PDF]

open access: yes, 2013
In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω⊂Rn with smooth compact boundary are studied.  A Schatten--von Neumann type estimate for the singular values of
Lotoreichik, Vladimir   +2 more
core   +4 more sources

Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]

open access: yes, 2013
Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir   +2 more
core   +4 more sources

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

open access: yesFractal 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   +6 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

Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions

open access: yesJournal 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
doaj   +1 more source

Abstract Impulsive Volterra Integro-Differential Inclusions

open access: yesFractal 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   +2 more
doaj   +1 more source

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