Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.
Fast methods for the solution of singular integro-differential and differential equations.
Fredholm type integrodifferential equation on time scales.
Fully Nonlinear Integrodifferential Equations in General Banach Space.
General boundary value problem for an integrodifferential system and its adjoint (continuation)
General boundary value problem for an integrodifferential system and its adjoint
General linear boundary value problem for the second-order integro-differential loaded equation with boundary conditions containing both nonlocal and global terms.
Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations
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
Global existence for second-order functional semilinear integrodifferential equations
Global existence results for first-order integrodifferential identification problems
Global robust dissipativity of integro-differential systems modelling neural networks with time delay.
Global stability of steady solutions for a model in virus dynamics
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
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.
High accuracy combination method for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind.
Hopf bifurcation of integro-differential equations.
Impulsive boundary-value problems for first-order integro-differential equations.
Impulsive integrodifferential equations involving nonlocal initial conditions.
Inequalities of solutions of Volterra integral and differential equations.