The existence and approximation of the periodic solution of a system of nonlinear differential-differential equations of the first order with independent variable delay with boundary conditions [PDF]
In this paper we study the existence and approximation of the solutions for some systems of nonlinear integro-differential equations with having retarded arguments and boundary conditions. The numerical–analytic method has been used to study the periodic
Raad Putrus, Ann Isaac
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An ordinary integro-differential equation with a degenerate kernel and an integral condition
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
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Existence of a periodic solutions for certain system of nonlinear integro-differential equations [PDF]
In this paper we investigate the existence and approximation of the periodic solutions for certain systems of nonlinear integro-differential equations, by using the method of successive periodic approximation of ordinary differential equations which is ...
R. Butris
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Periodic boundary value problem for second order integro‐ordinary differential equations with general kernel and Carathéodory nonlinearities [PDF]
We study the existence of solutions for the periodic boundary value problem for some second order integro‐differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.
openaire +2 more sources
Periodic solutions of second-order nonlinear system of integro-differential equations unsolvable for the highest derivative [PDF]
In this paper we study the existence and approximation of the periodic solutions for certain systems of second-order of integro-differential equations unsolvable for the highest derivative by using the numerical analytic method for ordinary differential ...
R. N. Butris
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
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.
Regensburger, Georg +4 more
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Analysis and numerical solution of a non-standard non-linear integro-differential boundary value problem [PDF]
The aim of this thesis is the analytical study and the development of a numerical method to solve a non-linear, integro-differential boundary value problem on the half line which is representative of a class of non-standard integral equations where the ...
Basile, Mariateresa
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In this paper, we investigate the existence, uniqueness, and stability of the periodic solution for the system of nonlinear integro-differential equations by using the numerical-analytic methods for investigating the solutions and the periodic solutions ...
Raad N. Butris +2 more
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A problem with parameter for the integro-differential equations
The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova +2 more
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