Results 21 to 30 of about 699,523 (337)
On some properties of a system of nonlinear partial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
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On the origin of the gravitational quantization: The Titius--Bode Law
, 2005 Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Agnese +29 more
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A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]
, 1917 For the matrix neutral difference-differential equation ẋ(t) + Aẋ(t − τ) Bx(t) + Cx(t − τ) we construct a quadratic Liapunov functional which gives necessary and sufficient conditions for the asymptotic stability of the solutions of that equation. We
Fukuchi, N. +6 more
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On the existence of classical solutions for differential-functional IBVP
Abstract and Applied Analysis, 1998 We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions.
Krzysztof A. Topolski
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Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Closed-Loop Solvability
, 2016 An optimal control problem is studied for a linear mean-field stochastic differential equation with a quadratic cost functional. The coefficients and the weighting matrices in the cost functional are all assumed to be deterministic.
Li, Xun, Sun, Jingrui, Yong, Jiongmin
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SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY ADOMIAN DECOMPOSITION METHOD [PDF]
Iranian Journal of Optimization, 2009 Adomian decomposition method has been applied to solve many functional equations so far. In this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. We interpret a fuzzy differential equation by
T. Allahviranloo, L. Jamshidi
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On the Study Of Asymptotically Almost Periodic Solutions of a Class of Impulsive Population Models [PDF]
Xibei Gongye Daxue Xuebao, 2018 Based on the Mawhin continuous theorem, the existence of strictly positive asymptotically almost periodic solutions of a class of impulsive population models is studied. The conclusion generalizes the conclusion of the existing literatures.
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Differential equations for algebraic functions [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions. We show that the linear differential equation of minimal order has coefficients whose degree is cubic in the degree of the function.
Bostan, Alin +4 more
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RG flows of Quantum Einstein Gravity on maximally symmetric spaces [PDF]
, 2014 We use the Wetterich-equation to study the renormalization group flow of $f(R)$-gravity in a three-dimensional, conformally reduced setting. Building on the exact heat kernel for maximally symmetric spaces, we obtain a partial differential equation which
Demmel, Maximilian +2 more
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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