Results 21 to 30 of about 34,807 (305)
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
core +1 more source
Asymptotics of Regular and Irregular Solutions in Chains of Coupled van der Pol Equations
, 2023 Chains of coupled van der Pol equations are considered. The main assumption that motivates the use of special asymptotic methods is that the number of elements in the chain is sufficiently large.
Sergey Kashchenko
core +1 more source
Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
ITM Web of Conferences, 2018 In this study, a Sine-Gordon expansion method for obtaining novel exact solutions of extended shallow water wave equation and Fokas equation is presented. All of the equations which are under consideration consist of three or four variable.
DURAN Serbay +2 more
doaj +1 more source
The Process Analysis in Domain of Two Variables
Mìkrosistemi, Elektronìka ta Akustika, 2018 A steady-state processes in RLC circuit with power sources having incommensurable frequencies is considered. In such a circuit a periodic steady-state process does not exist.
Igor Yevheniiovych Korotyeyev +1 more
doaj +1 more source
, 2021 Recent progress seems to suggest that the use of Sinc collocation method for the numerical treatment of partial differential equations, as a great level of precision and accuracy has been obtained on computational grounds.
Ilyas H. +3 more
core +1 more source
Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loeve expansion and the Random Variable Transformation technique [PDF]
, 2019 [EN] This paper deals with the study, from a probabilistic point of view, of logistic-type differential equations with uncertainties. We assume that the initial condition is a random variable and the diffusion coefficient is a stochastic process.
Romero, José-Vicente +3 more
core +1 more source
ASYMPTOTIC EXPANSION OF THE DENSITY FOR HYPOELLIPTIC ROUGH DIFFERENTIAL EQUATION [PDF]
Nagoya Mathematical Journal, 2019 We study a rough differential equation driven by fractional Brownian motion with Hurst parameter $H$$(1/4<H\leqslant 1/2)$. Under Hörmander’s condition on the coefficient vector fields, the solution has a smooth density for each fixed time. Using Watanabe’s distributional Malliavin calculus, we obtain a short time full asymptotic expansion of the ...
Inahama, Yuzuru, Naganuma, Nobuaki
openaire +2 more sources
Stability Conditions for Linear Semi-Autonomous Delay Differential Equations
, 2023 We present a new method for obtaining stability conditions for certain classes of delay differential equations. The method is based on the transition from an individual equation to a family of equations, and next the selection of a representative of this
Kirill Chudinov, Vera Malygina
core +1 more source
A possible theory of partial differential equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 The current gold standard for solving [nonlinear] partial differential equations, or [N]PDEs, is the simplest equation method, or SEM. Another prior technique for solving such equations, the G'/G-expansion method, appears to branch from the simplest ...
R. Jackson
doaj +1 more source
Modulated Fourier Expansions of Highly Oscillatory Differential Equations
Foundations of Computational Mathematics, 2003 The authors study the long term behavior of highly oscillatory solutions of systems of differential equations of the form \[ x''+\Omega^2 x=g(x), \tag{\(*\)} \] with \(\Omega=\left(\begin{smallmatrix}0&0\\0&\omega I\end{smallmatrix} \right)\), \(\omega\gg 1\) and \(g(x)= -\nabla U(x)\).
David Cohen +2 more
openaire +3 more sources