Results 21 to 30 of about 353 (182)
Solving a Quadratic Riccati Differential Equation, Multi-Pantograph Delay Differential Equations, and Optimal Control Systems with Pantograph Delays [PDF]
Axioms, 2020 An effective algorithm for solving quadratic Riccati differential equation (QRDE), multipantograph delay differential equations (MPDDEs), and optimal control systems (OCSs) with pantograph delays is presented in this paper. This technique is based on Genocchi polynomials (GPs). The properties of Genocchi polynomials are stated, and operational matrices
Fateme Ghomanjani, Stanford Shateyi
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Numerical Approach for Solving the Fractional Pantograph Delay Differential Equations
Complexity, 2022 A new class of polynomials investigates the numerical solution of the fractional pantograph delay ordinary differential equations. These polynomials are equipped with an auxiliary unknown parameter a, which is obtained using the collocation and least ...
Jalal Hajishafieiha, Saeid Abbasbandy
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Stability of hybrid pantograph stochastic functional differential equations [PDF]
Systems & Control Letters, 2022 In this paper, we study a new type of stochastic functional differential equations which is called hybrid pantograph stochastic functional differential equations. We investigate several moment properties and sample properties of the solutions to the equations by using the method of multiple Lyapunov functions, such as the moment exponential stability ...
Wu, Hao, Hu, Junhao, Yuan, Chenggui
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Abstract and Applied Analysis, 2013 The sufficient conditions of existence and uniqueness of the solutions for nonlinear stochastic pantograph equations with Markovian switching and jumps are given.
Zhenyu Lu +3 more
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Stability of numerical method for semi-linear stochastic pantograph differential equations
Journal of Inequalities and Applications, 2016 As a particular expression of stochastic delay differential equations, stochastic pantograph differential equations have been widely used in nonlinear dynamics, quantum mechanics, and electrodynamics.
Yu Zhang, Longsuo Li
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Fractal and Fractional, 2022 The current paper intends to report the existence and uniqueness of positive solutions for nonlinear pantograph Caputo–Hadamard fractional differential equations.
Hamid Boulares +4 more
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The Pantograph Equation in the Complex Plane
Journal of Mathematical Analysis and Applications, 1997 The subject matter is focused on two functional differential equations. First of them is the pantograph equation with involution on the complex plane: \[ y'(z)=\sum_{k=0}^{m-1} \left[ a_k y(\omega^k z) + b_k y(r \omega^k z) + c_k y'(r \omega^k z) \right] , \] where \(a_k, b_k, c_k \in \mathbb{C}, k= 0, 1, \dots , m-1,\) are given, \(r \in (0,1)\), and \
Derfel, G., Iserles, A.
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Large deviations for stochastic pantograph integrodifferential equation
Filomat, 2023 The pantograph equation, a specific type of delay differential equation is examined in this study in its stochastic form. Our main intention is to establish the Wentzell-Freidlin type large deviation estimates for stochastic pantograph integrodifferential equation.
Siva Ranjani +2 more
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Advanced Study on the Delay Differential Equation y′(t) = ay(t) + by(ct)
Mathematics, 2022 Many real-world problems have been modeled via delay differential equations. The pantograph delay differential equation y′(t)=ay(t)+byct belongs to such a set of delay differential equations.
Aneefah H. S. Alenazy +3 more
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International Journal of Differential Equations, 2017 An effective collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations with initial and boundary conditions is presented.
Abdulnasir Isah, Chang Phang, Piau Phang
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