Results 91 to 100 of about 284,369 (236)

Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method

open access: yesOpen Mathematics
In this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A.   +2 more
doaj   +1 more source

Analytical solution with tanh-method and fractional sub-equation method for non-linear partial differential equations and corresponding fractional differential equation composed with Jumarie fractional derivative [PDF]

open access: yesarXiv, 2015
The solution of non-linear differential equation, non-linear partial differential equation and non-linear fractional differential equation is current research in Applied Science. Here tanh-method and Fractional Sub-Equation methods are used to solve three non-linear differential equations and the corresponding fractional differential equation.
arxiv  

Equation Embeddings [PDF]

open access: yesarXiv, 2018
We present an unsupervised approach for discovering semantic representations of mathematical equations. Equations are challenging to analyze because each is unique, or nearly unique. Our method, which we call equation embeddings, finds good representations of equations by using the representations of their surrounding words. We used equation embeddings
arxiv  

Hopf bifurcation of integro-differential equations

open access: yesProceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations (August 10--14, 1999, Szeged, Hungary) edited by: Géza Makay and László Hatvani, 1999
A method reducing integro-differential equations (IDEs) to system of ordinary ones is proposed. On this base stability and bifurcation phenomena in critical cases are studied. Analog of Hopf bifurcation for scalar IDEs of first order is obtained. Conditions of periodic solution existence are proposed.
Alexander Domoshnitsky, Yakov Goltser
openaire   +3 more sources

Regularized solutions for some backward nonlinear parabolic equations with statistical data [PDF]

open access: yesarXiv, 2017
In this paper, we study the backward problem of determining initial condition for some class of nonlinear parabolic equations in multidimensional domain where data are given under random noise. This problem is ill-posed, i.e., the solution does not depend continuously on the data.
arxiv  

On Pantograph Integro-Differential Equations [PDF]

open access: yesJournal of Integral Equations and Applications, 1994
Iserles, Arieh, Liu, Yunkang
openaire   +2 more sources

An existence theorem for an integro-differential equation

open access: yesJournal of Mathematical Analysis and Applications, 1978
AbstractIn this paper we obtain an existence theorem for an integro-differential equation of the type u(s)+∫ω K(s,t) ∑α|⩽m (−1)|α| DαBα(t,ξ(u)(t)) dt=0. Hence ξ(u)(t) = {Dαu(t) : ¦ α ¦ ⩽ m} and Bα is a function of Ω × RSm in to R1.We assume that Bα satisfies “Nemytskii type” growth condition and also a monotonicity type condition.
openaire   +2 more sources

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