Ill-posed Abstract Volterra Equations
Implicit Runge- Kutta Methods for Second Kind Volterra Integral Equations.
Improving the Accuracy of Collocation Solutions of Volterra Integral Equations of the First Kind by Local Interpolation.
Inequalities of solutions of Volterra integral and differential equations.
Integrable and continuous solutions of a nonlinear quadratic integral equation.
Integral equations, Volterra equations, and the remarkable resolvent: contractions.
Integral equations with contrasting kernels.
Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation
MSC 2010: 35J05, 33C10, 45D05
Linear integral equations in the space of regulated functions.
Linear integral equations in the space of regulated functions
n this paper we investigate systems of linear integral equations in the space of -vector valued functions which are regulated on the closed interval (i.e. such that can have only discontinuities of the first kind in ) and left-continuous in the corresponding open interval In particular, we are interested in systems of the form x(t) - A(t)x(0) - 01B(t,s)[d x(s)] = f(t), where , the columns of the -matrix valued function belong to , the entries of have a bounded variation on for any...
Linear Volterra equations and integrated solution families.
Matematica ed Ecologia: un’interazione feconda
Maximal regularity for flexible structural systems in Lebesgue spaces.
Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales
In this research we establish necessary and sufficient conditions for the stability of the zero solution of scalar Volterra integro-dynamic equation on general time scales. Our approach is based on the construction of suitable Lyapunov functionals. We will compare our findings with known results and provides application to quantum calculus.
New conditions for the existence of non trivial solutions to some Volterra equations.
We consider the following Volterra equation:(1) u(x) = ∫0x k(x-s) g(u(s)) ds, where,k: [0, δ0] → R is an increasing absolutely continuous function such thatk(0) = 0g: [0,+ ∞) → [0,+ ∞) is an increasing absolutely continuous function such that g(0) = 0 and g(u)/u → ∞ as u → 0+ (see [3]).Let us note that (1) has always the trivial solution u = 0.Some necessary and sufficient conditions for the existence of nontrivial solutions to (1) with k(x) = xα - 1 (α>0) are given in [1], [2] and...
Noncommutative operational calculus.
Nonlinear equations with operators satisfying generalized Lipschitz conditions in scales.
Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition
The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.
Nonlinear Volterra Equations With Infinite Delay.
Nonlinear Volterra integral equation of the second kind and biorthogonal systems.