A fixed Point Theorem and its Applications to Nonlinear Integral Equations in Banach Algebras
A fixed point theorem of Leggett-Williams type with applications to single- and multivalued equations.
A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein type.
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear...
A generalization of Constantin's integral inequality and its discrete analogue.
A generalization of Osgood's test and a comparison criterion for integral equations with noise.
A global description of solutions to nonlinear perturbations of the Wiener--Hopf integral equations.
A heat approximation
The Fourier problem on planar domains with time variable boundary is considered using integral equations. A simple numerical method for the integral equation is described and the convergence of the method is proved. It is shown how to approximate the solution of the Fourier problem and how to estimate the error. A numerical example is given.
A kinetic model of tumor/immune system cellular interactions.
A Liapunov functional for a linear integral equation.
A limiting case for velocity averaging
A linear functional differential equation with distributions in the input.
A mathematical aspect for Liesegang phenomena
A mathematical model of continuous HIV mutations eluding immune defence.
A method for solving fuzzy Fredholm integral equations of the second kind.
A method for solving the Volterra integral equation of the first kind
A method for treating a class of nonlinear diffusion problems
Si presenta un metodo di soluzione di una classe di problemi di diffusione nonlineare che hanno origine dalla teoria delle popolazioni con struttura di età.
A minmax problem for parabolic systems with competitive interactions.
A mixed game of timing: problem of optimality