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Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method

Journal of Computational and Applied Mathematics, 2020
In this paper, a sixth-kind Chebyshev collocation method will be considered for solving a class of variable order fractional nonlinear quadratic integro-differential equations (V-OFNQIDEs).
A. Babaei, H. Jafari, S. Banihashemi
semanticscholar   +1 more source

An asymmetric information mean‐field type linear‐quadratic stochastic Stackelberg differential game with one leader and two followers

Optimal control applications & methods, 2020
This paper is concerned with an asymmetric information linear‐quadratic (AILQ) stochastic Stackelberg differential game with one leader and two followers, where the game system is governed by mean‐field type stochastic differential equation (MF‐SDE ...
Guangchen Wang, Yu Wang, Susu Zhang
semanticscholar   +1 more source

Linear-quadratic mean field stochastic zero-sum differential games

at - Automatisierungstechnik, 2020
In this paper, we consider the two-player linear–quadratic mean field stochastic differential game (LQ-MF-SZSDG), where the expected values of state and players’ control variables are included in the corresponding mean field stochastic system and the ...
Jun Moon
semanticscholar   +1 more source

Survey of results on quadratic differential systems

2021
Quadratic differential systems occur often in many areas of applied mathematics, in population dynamics [145], nonlinear mechanics [236, 237, 69], chemistry, electrical circuits, neural networks, laser physics, hydrodynamics [347, 328, 183, 191], astrophysics [80] and others [280, 154, 102].
Joan C. Artés   +3 more
openaire   +1 more source

Blow-up solutions of quadratic differential systems

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baris, J., Baris, P., Ruchlewicz, B.
openaire   +2 more sources

Bifurcation Analysis in Planar Quadratic Differential Systems with Boundary

International Journal of Bifurcation and Chaos, 2020
Given a planar quadratic differential system delimited by a straight line, we are interested in studying the bifurcation phenomena that can arise when the position on the boundary of two tangency points are considered as parameters of bifurcation. First, under generic conditions, we find a two-parametric family of quadratic differential systems with ...
Jocelyn A. Castro, Fernando Verduzco
openaire   +2 more sources

A Sufficient Condition for Linear-Quadratic Stochastic Zero-Sum Differential Games for Markov Jump Systems

IEEE Transactions on Automatic Control, 2019
In this note, we consider the linear-quadratic stochastic zero-sum differential game (LQ-SZSDG) for the Markov jump system (MJS) driven by Brownian motion.
Jun Moon
semanticscholar   +1 more source

Linear-quadratic optimal control for time-delay stochastic system with recursive utility under full and partial information

at - Automatisierungstechnik, 2020
This article studies a linear–quadratic (LQ) optimal control problem for time-delay stochastic system with recursive utility under full and partial information.
Na Li, Guangchen Wang, Zhanghua Wu
semanticscholar   +1 more source

Numerical solution of nonlinear partial quadratic integro‐differential equations of fractional order via hybrid of block‐pulse and parabolic functions

Numerical Methods for Partial Differential Equations, 2018
In this paper, an effective numerical approach based on a new two‐dimensional hybrid of parabolic and block‐pulse functions (2D‐PBPFs) is presented for solving nonlinear partial quadratic integro‐differential equations of fractional order.
Farshid Mirzaee, S. Alipour
semanticscholar   +1 more source

Linear Quadratic Optimal Control Problems for Mean-Field Backward Stochastic Differential Equations

Applied Mathematics and Optimization, 2016
This paper is concerned with linear quadratic optimal control problems for mean-field backward stochastic differential equations (MF-BSDEs, for short) with deterministic coefficients.
Xunjing Li, Jingrui Sun, J. Xiong
semanticscholar   +1 more source

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