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Time-Optimal Control for Semilinear Stochastic Functional Differential Equations with Delays
Mathematics, 2021 The purpose of this paper is to find the time-optimal control to a target set for semilinear stochastic functional differential equations involving time delays or memories under general conditions on a target set and nonlinear terms even though the ...
Yong Han Kang, Jin-Mun Jeong
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Generalized Three-Step Numerical Methods for Solving Equations in Banach Spaces
Mathematics, 2022 In this article, we propose a new methodology to construct and study generalized three-step numerical methods for solving nonlinear equations in Banach spaces.
Michael I. Argyros +3 more
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Mathematics, 2023 The study of variable order differential equations is important in science and engineering for a better representation and analysis of dynamical problems. In the literature, there are several fractional order operators involving variable orders.
Hasib Khan +4 more
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Alexandria Engineering Journal, 2023 Boundary conditions involving fractional derivatives of unknown functions are more general and can be used to generalize Dirichlet- or Neumann-type boundary conditions.
Kiran Kumar Saha +2 more
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Boundary Value Problems, 2022 We study the optimal feedback control for fractional evolution equations with a nonlinear perturbation of the time-fractional derivative term involving Caputo fractional derivatives with arbitrary kernels.
Apassara Suechoei +1 more
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On the functional equations involving nonlinear generalized đ-compact operators [PDF]
Transactions of the American Mathematical Society, 1969 Introduction. In his recent papers [23], [24], [25] Petryshyn has introduced and studied a class of projectionally compact (P-compact) nonlinear mappings of a real Banach space with property (-)K into itself. The main result of this study was an elementary and essentially a constructive proof of two fixed point theorems for bounded [23], [24] and ...
Petryshyn, W. V., Tucker, T. S.
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Liouville-Type Theorem for Nonlinear Elliptic Equations Involving Generalized Greiner Operator
Mathematics, 2022 In this paper, we study the Liouville-type behaviors of the generalized Greiner operators with nonlinear boundary value conditions. We use the technique based upon the method of moving planes.
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Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations
International Journal of Mathematics and Mathematical Sciences, 2014 We present a new iterative method which does not involve inversion of the operators for obtaining an approximate solution for the nonlinear ill-posed operator equation F(x)=y.
Ioannis K. Argyros +2 more
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General approximation-solvability of nonlinear equations involving -regular operators
Applied Mathematics Letters, 1993 AbstractHere we consider a general approximation-solvability scheme involving -regular operators âa generalization of -proper operatorsâintroduced and studied by Petryshyn [1] and further studied by Milojevic' [2], Petryshyn [3], and others. Among significant applications, -regular version of the Petryshyn theorem is given.
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Fractal and FractionalThe Langevin equation is a model for describing Brownian motion, while the SturmâLiouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and SturmâLiouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
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