General boundary value problem for an integrodifferential system and its adjoint
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General boundary value problem for an integrodifferential system and its adjoint (continuation)
Milan Tvrdý, Otto Vejvoda (1973)
Časopis pro pěstování matematiky
General linear boundary value problem for the second-order integro-differential loaded equation with boundary conditions containing both nonlocal and global terms.
Fatemi, M.R., Aliyev, N.A. (2010)
Abstract and Applied Analysis
Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations
Xuan Thao, Nguyen, Kim Tuan, Vu, Thanh Hong, Nguyen (2008)
Fractional Calculus and Applied Analysis
Mathematics Subject Classification: 44A05, 44A35With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using generalized convolutions a class of Toeplitz plus Hankel integral equations, and also a system of integro-differential equations are solved in closed form.
Global error estimation in the numerical solution of integro-differential equations by Euler's method
Z. Jackiewicz (1984)
Applicationes Mathematicae
Global existence for second-order functional semilinear integrodifferential equations
Sotiris K. Ntouyas, Panagiotis Ch. Tsamatos (2000)
Mathematica Slovaca
Global existence results for first-order integrodifferential identification problems
Alfredo Lorenzi, Aleksey Ivanovic Prilepko (1996)
Rendiconti del Seminario Matematico della Università di Padova
Global robust dissipativity of integro-differential systems modelling neural networks with time delay.
Cui, Baotong, Lou, Xuyang (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Global stability of steady solutions for a model in virus dynamics
Hermano Frid, Pierre-Emmanuel Jabin, Benoît Perthame (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We consider a simple model for the immune system in which virus are able to undergo mutations and are in competition with leukocytes. These mutations are related to several other concepts which have been proposed in the literature like those of shape or of virulence – a continuous notion. For a given species, the system admits a globally attractive critical point. We prove that mutations do not affect this picture for small perturbations and under strong structural assumptions. Based on numerical...
Global Stability of Steady Solutions for a Model in Virus Dynamics
Hermano Frid, Pierre-Emmanuel Jabin, Benoît Perthame (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We consider a simple model for the immune system in which virus are able to undergo mutations and are in competition with leukocytes. These mutations are related to several other concepts which have been proposed in the literature like those of shape or of virulence – a continuous notion. For a given species, the system admits a globally attractive critical point. We prove that mutations do not affect this picture for small perturbations and under strong structural assumptions. Based on numerical...
Gradient method for finding optimal scheduling in infinite dimensional models of chemotherapy.
Smieja, Jaroslaw, Swierniak, Andrzej, Duda, Zdzislaw (2000)
Journal of Theoretical Medicine
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