Results 1 to 10 of about 1,177,266 (201)

Hyperdeterminant and an integrable partial differential equation [PDF]

open access: yesarXiv, 2011
We discuss an integrable partial differential equation arising from the hyperdeterminant.
Steeb, Willi-Hans
arxiv   +4 more sources

On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]

open access: yesOpuscula Mathematica, 2021
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj   +1 more source

Min-max differential game with partial differential equation

open access: yesAIMS Mathematics, 2022
In this paper, we are concerned with a min-max differential game with Cauchy initial value problem (CIVP) as the state trajectory for the differential game, we studied the analytical solution and the approximate solution by using Picard method (PM) of ...
Ebrahim. A. Youness   +3 more
doaj   +1 more source

Existence and Uniqueness in the Linearised One and Two-dimensional Problem of Partial Differential Equations With Variational Method

open access: yesJurnal Matematika UNAND, 2022
The classical solution and the strong solution of a partial differential equation problem are continuously differentiable solutions. This solution has a derivative for a continuous infinity level.
Bayu Prihandono   +2 more
doaj   +1 more source

On Some Results of the Nonuniqueness of Solutions Obtained by the Feynman–Kac Formula

open access: yesMathematics, 2023
The Feynman–Kac formula establishes a link between parabolic partial differential equations and stochastic processes in the context of the Schrödinger equation in quantum mechanics.
Byoung Seon Choi, Moo Young Choi
doaj   +1 more source

Developmental Partial Differential Equations [PDF]

open access: yes2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper, we introduce the concept of Developmental Partial Differential Equation (DPDE), which consists of a Partial Differential Equation (PDE) on a time-varying manifold with complete coupling between the PDE and the manifold's evolution.
Pouradier Duteil, Nastassia   +3 more
openaire   +6 more sources

Using matrix stability for variable telegraph partial differential equation

open access: yesAn International Journal of Optimization and Control: Theories & Applications, 2020
The variable telegraph partial differential equation depend on initial boundary value problem has been studied. The coefficient constant time-space telegraph partial differential equation is obtained from the variable telegraph partial differential ...
Mahmut Modanli   +2 more
doaj   +1 more source

Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials

open access: yesAIMS Mathematics, 2022
The basic objective of this paper is to utilize the factorization technique method to derive several properties such as, shift operators, recurrence relation, differential, integro-differential, partial differential expressions for Gould-Hopper-Frobenius-
Rabab Alyusof , Mdi Begum Jeelani
doaj   +1 more source

Hyena neural operator for partial differential equations

open access: yesAPL Machine Learning, 2023
Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. Recent advances in deep learning have provided a new approach to solving partial
Saurabh Patil   +2 more
doaj   +1 more source

Hyperbolic function solutions of time-fractional Kadomtsev-Petviashvili equation with variable-coefficients

open access: yesAIMS Mathematics, 2022
Based on the variable separation method, the Kadomtsev-Petviashvili equation is transformed into a system of equations, in which one is a fractional ordinary differential equation with respect to time variable t, and the other is an integer order ...
Cheng Chen
doaj   +1 more source

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