Results 31 to 40 of about 20,481 (312)
Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]
, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
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On linear and nonlinear perturbations of linear systems of ordinary differential equations with constant coefficients [PDF]
Transactions of the American Mathematical Society, 1956 where A = Re X); for a sharper result, cf. [5 ]. It is known that if (3) is altered to the condition that each element of th-1G(t) is of class L(O, oo) for a suitable number h, depending on J, then (4) can be improved to an asymptotic formula for each component of y(t); cf., e.g., [5]. It is natural to ask for theorems with assertions stronger than (4),
Hartman, Philip, Wintner, Aurel
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Direct Power Series Approach for Solving Nonlinear Initial Value Problems
Axioms, 2023 In this research, a new approach for solving fractional initial value problems is presented. The main goal of this study focuses on establishing direct formulas to find the coefficients of approximate series solutions of target problems.
Emad Salah +3 more
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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Discover governing differential equations from evolving systems
Physical Review Research, 2023 Discovering the governing equations of evolving systems from available observations is essential and challenging. In this paper, we consider a different scenario: discovering governing equations from streaming data.
Yuanyuan Li, Kai Wu, Jing Liu
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Model of the telegraph line and its numerical solution
Open Computer Science, 2018 This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the
Veigend Petr +2 more
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Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, modification of Dzhumabaev parameterization method is developed to a boundary value problem for systems of loaded differential equations with piecewise constant argument of generalized type (EPCAG).
E. Bakirova +2 more
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On the solution of some simple fractional differential equations
International Journal of Mathematics and Mathematical Sciences, 1990 The differintegration or fractional derivative of complex order ν, is a generalization of the ordinary concept of derivative of order n, from positive integer ν=n to complex values of ν, including also, for ν=−n a negative integer, the ordinary n-th ...
L. M. B. C. Campos
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A Liouville’s Formula for Systems with Reflection
Mathematics, 2021 In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection.
Santiago Codesido, F. Adrián F. Tojo
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Linear Hamiltonian behaviors and bilinear differential forms [PDF]
, 2004 We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, P. +7 more
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