Bending-torsional vibrations of aircraft wing [PDF]
The problems of bending-torsional flutter of an aircraft wing are considered. Using equations of motion by the Bubnov-Galerkin method, based on the polynomial approximation of deflections and angle of twist, the problem is reduced to studying a system of
Khudayarov B. A. +4 more
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The periodic solution for some systems of nonlinear integro-differential equations of Volterra type. [PDF]
In this paper we investigate the existence and approximation of the periodic solution for a system of nonlinear integro-differential equations of Volterra type. The numerical-analytic method has been used to study the periodic solutions of the non-linear
Raad Putrus, Ghada Jameel
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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
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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
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.
Guo, Li +5 more
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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
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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On Lp-solvability of stochastic integro-differential equations [PDF]
In this thesis, we investigate the Lp-solvability of a class of (possibly) degenerate stochastic integro-differential equations (SIDEs) of parabolic type, which includes the Zakai equation in nonlinear filtering for jump diffusions and the Kolmogorov ...
Wu, Sizhou
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