Results 21 to 30 of about 1,407,788 (320)
MATEC Web of Conferences, 2017 This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
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Linearized Asymptotic Stability for Fractional Differential Equations [PDF]
, 2016 We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differential equation is asymptotically stable if its linearization at the ...
Cong, N. D. +3 more
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Discrete and Continuous Multiplicative Differential Equations and Applications in Solving Non−Linear Difference and Differential Equations [PDF]
Sahand Communications in Mathematical AnalysisBoundary and initial value problems, including nonlinear difference equations and nonlinear differential equations, are the mathematical models of many physics and engineering problems and natural phenomena.
Mohammad Jahanshahi +2 more
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Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations [PDF]
Journal of nonlinear science, 2017 High-dimensional partial differential equations (PDEs) appear in a number of models from the financial industry, such as in derivative pricing models, credit valuation adjustment models, or portfolio optimization models. The PDEs in such applications are
C. Beck, W. E, Arnulf Jentzen
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Applied Mathematics Letters, 2020 By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation and on the deviating argument τ ...
Tongxing Li, Yuri V. Rogovchenko
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Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations [PDF]
SIAM Journal on Scientific Computing, 2017 We introduce the concept of numerical Gaussian processes, which we define as Gaussian processes with covariance functions resulting from temporal discretization of time-dependent partial differential equations.
M. Raissi, P. Perdikaris, G. Karniadakis
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Painleve property and the first integrals of nonlinear differential equations
, 2004 Link between the Painleve property and the first integrals of nonlinear ordinary differential equations in polynomial form is discussed. The form of the first integrals of the nonlinear differential equations is shown to determine by the values of the ...
Ablowitz +31 more
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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms [PDF]
, 2016 Lump solutions are analytical rational function solutions localized in all directions in space. We analyze a class of lump solutions, generated from quadratic functions, to nonlinear partial differential equations.
W. Ma, Yuan Zhou
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
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