On problems of B. Choczewski and M. Kuczma concerning an integral equation
On quadratic integral equations of Urysohn type in Fréchet spaces.
On radially symmetric solutions of some chemotaxis system
This paper contains some results concerning self-similar radial solutions for some system of chemotaxis. This kind of solutions describe asymptotic profiles of arbitrary solutions with small mass. Our approach is based on a fixed point analysis for an appropriate integral operator acting on a suitably defined convex subset of some cone in the space of bounded and continuous functions.
On solutions of a Volterra integral equation with deviating arguments.
On solutions of integral equations with analytic kernels and rotations
We deal with a class of integral equations on the unit circle in the complex plane with a regular part and with rotations of the form (*) x(t) + a(t)(Tx)(t) = b(t), where and are of the form (3) below. We prove that under some assumptions on analytic continuation of the given functions, (*) is a singular integral equation for m odd and is a Fredholm equation for m even. Further, we prove that T is an algebraic operator with characteristic polynomial . By means of the Riemann boundary value...
On the application of measure of noncompactness to existence theorems
On the approximate solution of nonlinear singular integral equations with positive index.
On the approximate solution of some Fredholm integral equations by Newton's method.
On the Aronszajn property for integral equations in Banach space
For the integral equation (1) below we prove the existence on an interval of a solution with values in a Banach space , belonging to the class , . Further, the set of solutions is shown to be a compact one in the sense of Aronszajn.
On the Boundary Element Method for Some Nonlinear Boundary Value Problems.
On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.
On the dynamics of a nonlinear multidimensional oscillator with memory.
On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation
On the existence and uniqueness of solutions of a certain integral-functional equation
On the existence of a fuzzy integral equation of Urysohn-Volterra type
We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.
On the existence of bounded continuous solution of Hammerstein integral equation
On the existence of continuous solutions of operator equations in Banach spaces
On the existence of exactly one solution of integral equations in the space with a mixed norm
On the existence of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional order.
On the existence of solutions of nonlinear integral equations in Banach spaces and Henstock-Kurzweil integrals
We prove some existence theorems for nonlinear integral equations of the Urysohn type and Volterra type , , where f and φ are functions with values in Banach spaces. Our fundamental tools are: measures of noncompactness and properties of the Henstock-Kurzweil integral.