Results 11 to 20 of about 17,997 (206)
Semi-Implicit Multistep Extrapolation ODE Solvers
Mathematics, 2020 Multistep methods for the numerical solution of ordinary differential equations are an important class of applied mathematical techniques. This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and
Denis Butusov +4 more
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Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative
Mathematics, 2023 The purpose of this paper is to study nonlinear implicit differential equations with the Caputo–Katugampola fractional derivative. By using Gronwall inequality and Banach fixed-point theorem, the existence of the solution of the implicit equation is ...
Qun Dai, Yunying Zhang
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On implicit systems of differential equations
Journal of Differential Equations, 2003 The author studies implicit autonomous systems of ordinary differential equations with polynomial dependency on both the unknown functions and their derivatives. This allows him to make heavy use of methods from commutative algebra and algebraic geometry in his analysis.
Leon Pritchard, F.
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On discrete analogues of nonlinear implicit differential equations
Advances in Difference Equations, 2006 This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations.
Anh Pham Ky, Loi Le Cong
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On the Exponents of Exponential Dichotomies
Mathematics, 2020 An exponential dichotomy is studied for linear differential equations. A constructive method is presented to derive a roughness result for perturbations giving exponents of the dichotomy as well as an estimate of the norm of the difference between the ...
Flaviano Battelli, Michal Fečkan
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On the Multiplicity of Implicit Differential Equations
Journal of Differential Equations, 1998 In this paper the study of the implicit differential equation (IDE) \[ F(x,y,dy/dx)=0 \] (where \(F\) is an analytic function in \((x,y))\) is motivated by some concrete problems concerning binary differential equations (BDE) of the form: \[ a(x,y)dy^2+2b(x,y)dxdy+c(x,y)dx^2=0.
Bruce, J.W., Tari, F.
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Implicit nonlinear fractional differential equations of variable order
Boundary Value Problems, 2021 In this manuscript, we examine both the existence and the stability of solutions to the implicit boundary value problem of Caputo fractional differential equations of variable order.
Amar Benkerrouche +3 more
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Axioms, 2022 We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations.
Djalal Boucenna +2 more
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Implicit parabolic differential equations [PDF]
Bulletin of the Australian Mathematical Society, 1995 Let QT = ω x (0, T), where ω is a bounded domain in ℝn (n ≥ 3) having the cone property and T is a positive real number; let Y be a nonempty, closed connected and locally connected subset of ℝh; let f be a real-valued function defined in QT × ℝh × ℝnh × Y; let ℒ be a linear, second order, parabolic operator.
Bonafede, Salvatore +1 more
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A new proof of the implicit function theorem
上海师范大学学报. 自然科学版, 2016 The implicit function theorem plays an important role in the mathematical analysis and many other branches of mathematics. In the college course of Ordinary Differential Equations, we have learnt the theorems on the existence and uniqueness of solutions ...
HAN Maoan, SHENG Lijuan
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