Results 31 to 40 of about 22,791 (274)
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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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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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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Boundary Value Problems for Delay Differential Systems
Advances in Difference Equations, 2010 Conditions are derived of the existence of solutions of linear Fredholm's boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that these solutions satisfy the initial and ...
Khusainov D +3 more
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Automated Linearization of a System of Nonlinear Ordinary Differential Equations
International Journal of Electronics and Telecommunications, 2023 This paper investigates the possibility of automatically linearizing nonlinear models. Constructing a linearised model for a nonlinear system is quite labor-intensive and practically unrealistic when the dimension is greater than 3. Therefore, it is important to automate the process of linearisation of the original nonlinear model.
Aigerim Mazakova +4 more
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The Expansion Al-Zughair transformation and its devloper of it to solve Linear ordinary differential equations with constant coefficients [PDF]
مجلة جامعة الانبار للعلوم الصرفةA fundamental component of applied mathematics are differential equations with constant coefficients. Both complicated and physical systems may be well described using it.
Ali Mohammed, Zainab Razzaq
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