Results 21 to 30 of about 113,253 (227)

On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications

open access: yesBoundary Value Problems, 2009
We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly),
Angela Gallo, Anna Maria Piccirillo
doaj   +2 more sources

Method of functional parametrization for solving a semi-periodic initial problem for fourth-order partial differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
doaj   +1 more source

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]

open access: yes, 2012
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Buchberger, Bruno   +3 more
core   +1 more source

Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]

open access: yes, 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.
core   +1 more source

An ordinary integro-differential equation with a degenerate kernel and an integral condition

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
doaj   +1 more source

Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated.
Tursun K. Yuldashev
doaj   +1 more source

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

open access: yes, 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
core   +3 more sources

The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]

open access: yes, 2011
Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Equations with infinite delay : Numerical bifurcation analysis via pseudospectral discretization [PDF]

open access: yes, 2018
We address the problem of the numerical bifurcation analysis of general nonlinear delay equations, including integral and integro-differential equations, for which no software is currently available.
Gyllenberg, Mats   +2 more
core   +2 more sources

A Procedure for Constructing the Solution of a Nonlinear Fredholm Integro-Differential Equation of Second Order

open access: yesAxioms, 2022
In this work, a large class of integro-differential equations, arising from the description of heat transfer problems, is considered, particularly the nonlinear equations.
Rogério Martins Saldanha da Gama   +1 more
doaj   +1 more source

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