Results 101 to 110 of about 18,586 (197)
Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three
Open MathematicsIn this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela +2 more
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A nonlinear partial integro-differential equation from mathematical finance [PDF]
We study a nonlinear partial integrodifferential equation arising in the calibration of stochastic volatility models to a market of vanilla options.
Frédéric Abergel, Rémi Tachet
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Remarks on a New Variable-Coefficient Integro-Differential Equation via Inverse Operators
Fractal and FractionalIn this paper, we investigate functional inverse operators associated with a class of fractional integro-differential equations. We further explore the existence, uniqueness, and stability of solutions to a new integro-differential equation featuring ...
Chenkuan Li, Nate Fingas, Ying Ying Ou
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We investigate a nonlocal boundary value problem for the equation of special type. For $y > 0$ it is the equation of fractional diffusion, which contains partial fractional derivative of Riemann-Liouville.
Oleg A Repin
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Science and Transport Progress, 2011 The two-side methods of the second order of accuracy are constructed. The formulas give an opportunity to receive upper and lover approximation at each point to the exact solution and define the value of the main error without referring to the right part of differential equation.
null R. Ya. Pelekh, null Yu. Yu. Luchko
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Linear inverse problems for integro-differential equations in Banach spaces with a bounded operator
Современная математика: Фундаментальные направленияIn this paper, we study the questions of well-posedness of linear inverse problems for equations in Banach spaces with an integro-differential operator of the Riemann-Liouville type and a bounded operator at the unknown function.
V. E. Fedorov, A. D. Godova
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Exponential Stability of Two Coupled Second-Order Evolution Equations
Advances in Difference Equations, 2011 By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations (one is an integro-differential equation) decays exponentially if the convolution kernel decays exponentially. An example is give to
Wan Qian, Xiao Ti-Jun
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, 2003 We formulate and prove a non-local ``maximum principle for semicontinuous functions'' in the setting of fully nonlinear degenerate elliptic integro-partial differential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain comparison/uniqueness results for integro-partial ...
Jakobsen, Espen R., Karlsen, Kenneth H.
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ComputationIn this research article, we demonstrate the generalized expansion method to investigate nonlinear integro-partial differential equations via an efficient mathematical method for generating abundant exact solutions for two types of applicable nonlinear ...
J. R. M. Borhan +5 more
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