Results 31 to 40 of about 316,882 (148)
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
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Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]
, 1975 We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
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, 2012 In this article we study a class of stochastic functional differential equations driven by L\'{e}vy processes (in particular, $\alpha$-stable processes), and obtain the existence and uniqueness of Markov solutions in small time intervals.
Zhang, Xicheng
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Open MathematicsIn 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
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Results in Nonlinear Analysis, 2021 We prove the existence and uniqueness of mild solutions for initial value problems of nonlinear hybrid first order Caputo fractional integro-differential equations. The main tool employed here is the Krasnoselskii and Banach fixed point theorems.
Abderrahim Guerfi, Abdelouaheb Ardjouni
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The weakest nontrivial idempotent equations [PDF]
, 2016 An equational condition is a set of equations in an algebraic language, and an algebraic structure satisfies such a condition if it possesses terms that meet the required equations. We find a single nontrivial equational condition which is implied by any nontrivial idempotent equational condition.
arxiv +1 more source
New Coalescences for the Painlevé Equations [PDF]
arXiv, 2021 The Painlev\'e equations are here connected to other classes of equations with the Painlev\'e Property (Ince's equations) by the same degeneracy procedure that connects the Painlev\'e equations (coalescence). These Ince's equations here are also connected among themselves like in the traditional Painlev\'e's coalescence cascade.
arxiv
Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations
, 2019 In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations.
Bhalekar, Sachin +2 more
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
Axioms, 2019 Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints.
Shin Min Kang +3 more
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