Results 21 to 30 of about 385,390 (280)
Alexandria Engineering Journal, 2023 In this study, random ordinary differential equations obtained by randomly choosing the coefficients or initial conditions of the ordinary differential equations will be analyzed by the Residual Power Series Method. The initial conditions or coefficients
Mehmet Merdan, Nihal Atasoy
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Polynomial Time corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length [PDF]
, 2016 We provide an implicit characterization of polynomial time computation in terms of ordinary differential equations: we characterize the class $\operatorname{PTIME}$ of languages computable in polynomial time in terms of differential equations with ...
Bournez, Olivier +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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Pursuit Curves and Ordinary Differential Equations
Communications, 2012 This paper deals with the differential equations which describe curves of pursuit, in which the pursuer's velocity vector always points directly towards the pursued. We use the Laplace Transform method to solve the classic problem of four mice pursuit.
Zuzana Malacka
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Fault Diagnosis via Neural Ordinary Differential Equations
Applied Sciences, 2021 Implementation of model-based fault diagnosis systems can be a difficult task due to the complex dynamics of most systems, an appealing alternative to avoiding modeling is to use machine learning-based techniques for which the implementation is more ...
Luis Enciso-Salas +2 more
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The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]
, 2015 We consider a second order linear evolution equation with a dissipative term multiplied by a time-dependent coefficient. Our aim is to design the coefficient in such a way that all solutions decay in time as fast as possible.
Ghisi, Marina +2 more
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Ordinary differential equations described by their Lie symmetry algebra [PDF]
, 2014 The theory of Lie remarkable equations, i.e. differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations.
Manno, Gianni +3 more
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Model of the telegraph line and its numerical solution [PDF]
, 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
Nečasová, Gabriela +2 more
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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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, 2011 Meromorphic solutions of autonomous nonlinear ordinary differential equations are studied. An algorithm for constructing meromorphic solutions in explicit form is presented.
Eremenko +21 more
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