[BOOK][B] Nonlinear ordinary differential equations

M Hermann, M Saravi - 2016 - Springer
Nonlinear ordinary differential equations (ODEs) play a fundamental role in scientific
modeling, technical and economic processes as well as in inner mathematical questions …

Forward-backward stochastic differential equations with mixed initial-terminal conditions

J Yong - Transactions of the American Mathematical Society, 2010 - ams.org
Well-posedness of forward-backward stochastic differential equations (FBSDEs, for short) in
$ L^ p $ spaces with mixed initial-terminal conditions is studied. A notion of Lyapunov …

[HTML][HTML] Successive approximations and interval halving for fractional BVPs with integral boundary conditions

K Marynets, D Pantova - Journal of Computational and Applied …, 2024 - Elsevier
We study a system of non-linear fractional differential equations, subject to integral boundary
conditions. We use a parametrization technique and a dichotomy-type approach to reduce …

NEW GENERAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS AND THE METHODS FOR THE SOLUTION OF BOUNDARY-VALUE PROBLEMS.

DS Dzhumabaev - Ukrainian Mathematical Journal, 2019 - go.gale.com
New general solutions of ordinary differential equations are introduced and their properties
are established. We develop new methods for the solution of boundary-value problems …

A computational method for solving a problem with parameter for linear systems of integro-differential equations

AT Assanova, EA Bakirova, ZM Kadirbayeva… - Computational and …, 2020 - Springer
This article presents a computational method for solving a problem with parameter for a
system of Fredholm integro-differential equations. Some additional parameters are …

Periodic boundary value problems for higher‐order fractional differential systems

M Fečkan, K Marynets, JR Wang - Mathematical Methods in the …, 2019 - Wiley Online Library
Approximation of solutions of fractional differential systems (FDS) of higher orders is studied
for periodic boundary value problem (PBVP). We propose a numerical‐analytic technique to …

An existence of an isolated solution to nonlinear two-point boundary value problem with parameter

BB Minglibayeva, AT Assanova - Lobachevskii Journal of Mathematics, 2021 - Springer
The nonlinear two-point boundary value problem with parameter for systems of ordinary
differential equations is investigated by the parametrization method. The method consists in …

Successive approximation techniques in non-linear boundary value problems for ordinary differential equations

A Rontó, M Rontó - Handbook of differential equations: ordinary differential …, 2008 - Elsevier
In this work, we investigate the solvability and the approximate construction of solutions of
certain types of regular non-linear boundary value problems for systems of ordinary …

Approximation approach to periodic BVP for fractional differential systems

M Fečkan, K Marynets - The European Physical Journal Special Topics, 2017 - Springer
We give a new approach of investigation and approximation of solutions of fractional
differential systems (FDS) subjected to periodic boundary conditions. According to the main …

Notes on interval halving procedure for periodic and two-point problems

A Rontó, M Rontó, N Shchobak - Boundary Value Problems, 2014 - Springer
Notes on interval halving procedure for periodic and two-point problems | Boundary Value
Problems Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …