Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]
, 2005 A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
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Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body [PDF]
, 2006 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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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 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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Incremental localized boundary-domain integro-differential equations of elastic damage mechanics for inhomogeneous body [PDF]
, 2006 Copyright @ 2006 Tech Science PressA quasi-static mixed boundary value problem of elastic damage mechanics for a continuously inhomogeneous body is considered.
Mikhailov, SE
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Computation, 2021 The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta +2 more
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NONLINEAR DEGENERATE INTEGRO-PARTIAL DIFFERENTIAL EVOLUTION EQUATIONS RELATED TO GEOMETRIC LÉVY PROCESSES AND APPLICATIONS TO BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS [PDF]
Stochastics and Stochastic Reports, 2004 We prove a comparison principle for unbounded semicontinuous viscosity sub- and supersolutions of nonlinear degenerate parabolic integro-partial differential equations coming from applications in mathematical finance in which geometric Lévy processes act as the underlying stochastic processes for the assets dynamics. As a consequence of the ``geometric
Amadori, Anna Lisa +2 more
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Journal of Function Spaces, 2022 This article focuses on finding the numerical solution of the nonlinear time–fractional partial integro–differential equation. For this purpose, we use the operational matrices based on Pell polynomials to approximate fractional Caputo derivative ...
M. Taghipour, H. Aminikhah
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Partial Differential Equations in Applied Mathematics, 2023 Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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Forced vibrations of hereditary deformable shell elements of aircraft structures in gas flow under influence of atmospheric turbulence [PDF]
E3S Web of Conferences, 2023 The problem of vibrations of thin, hereditarily deformable shell elements moving in a gas under the action of atmospheric turbulence is considered. The work aims to study the flutter phenomenon of aircraft elements in a gas flow under the action of loads
Usmonov B.Sh. +4 more
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Inverse problem for a Fredholm third order partial integro-differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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