Results 51 to 60 of about 16,357 (168)
AlgorithmsBoundary value problems for systems of integrodifferential equations appear in many branches of science and engineering. Accuracy in modeling complex processes requires the specification of nonlocal boundary conditions, including multipoint and integral ...
Efthimios Providas +2 more
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Uniform exponential stability of linear periodic systems in a Banach space
Electronic Journal of Differential Equations, 2001 This article is devoted to the study of linear periodic dynamical systems, possessing the property of uniform exponential stability. It is proved that if the Cauchy operator of these systems possesses a certain compactness property, then the asymptotic ...
David N. Cheban
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MathematicsIn engineering, physics, and other fields, implicit ordinary differential equations are essential to simulate complex systems. However, because of their intrinsic nonlinearity and difficulty separating higher-order derivatives, implicit ordinary ...
Brahim Benhammouda, Hector Vazquez-Leal
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Russian Law Journal, 2023 In recent years there has been an increased interest in the study of mathematics applied to engineering to study aspects of its teaching. In the present research work, a compilation of analytical concepts of differential equations applied to the solution of problems of electrical circuits, a branch of electrical engineering and mechanical engineering ...
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Journal of the American Statistical Association, 2018 Ordinary differential equations (ODEs) are widely used to model the dynamic behavior of a complex system. Parameter estimation and variable selection for a "Big System" with linear ODEs are very challenging due to the need of nonlinear optimization in an ultra-high dimensional parameter space.
Leqin Wu +3 more
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Journal of Differential Equations, 1982 AbstractThis paper is concerned with linear systems of ordinary differential equations. A criterion for integral separation in terms of exponential dichotomy is given. As corollaries we obtain the roughness theorem for integral separation and the new result that an upper triangular system on a half-line is integrally separated if and only if the system
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An Implicit Two-Point Numerical Integration Formula for Linear and Nonlinear Stiff Systems of Ordinary Differential Equations [PDF]
Mathematics of Computation, 1978 In [1], the author proposed a semi-implicit one-step integration formula which effectively copes with linear systems of ordinary differential equations with widely varying eigenvalues. The integration algorithm is based on a local representation of the theoretical solution to the initial value problem by a linear combination of exponential functions ...
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Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations [PDF]
Journal of the Franklin Institute, 2014 In this paper we show that if a linear cocycle is robustly periodical stable then it is uniformly stable.
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Geometric Linearization of Ordinary Differential Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2007 The linearizability of differential equations was first considered by Lie for scalar second order semi-linear ordinary differential equations. Since then there has been considerable work done on the algebraic classification of linearizable equations and ...
Asghar Qadir
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On one nonlinear integral boundary value problem
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017 We give a new approach for the investigation of existence and construction of an approximate solutions of nonlinear non-autonomous systems of ordinary differential equations under nonlinear integral boundary conditions.
Я. В. Варга
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