Periodic solution for a delay integro-differential equation in biomathematics [PDF]
Sufficient conditions for the existence and uniqueness of periodic solution of a delay integro-differential equation which arise in biomathematics are given.
Bica, Alexandru Mihai, Muresan, Sorin
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann +3 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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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
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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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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Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body [PDF]
A quasi-static mixed boundary value problem of incremental elasto-plasticity for a continuously inhomogeneous body is considered. Using the two-operator Green–Betti formula and the fundamental solution of a reference homogeneous linear elasticity problem,
Mikhailov, SE
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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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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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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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