Integral equations of convolution type with power nonlinearity
Integral equations of the first kind of Sonine type.
Integral equations of the third kind
Integral equations via saddle point problem for 2D electromagnetic problems
Integral Equations VIA Saddle Point Problem for 2D Electromagnetic Problems
A new system of integral equations for the exterior 2D time harmonic scattering problem is investigated. This system was first proposed by B. Després in [11]. Two new derivations of this system are given: one from elementary manipulations of classical equations, the other based on a minimization of a quadratic functional. Numerical issues are addressed to investigate the potential of the method.
Integral equations, Volterra equations, and the remarkable resolvent: contractions.
Integral equations with contrasting kernels.
Integral inequalities of Gronwall type for piecewise continuous functions.
Integral operators and absolute convergence systems.
Integral operators generated by Mercer-like kernels on topological spaces
We analyze some aspects of Mercer's theory when the integral operators act on L²(X,σ), where X is a first countable topological space and σ is a non-degenerate measure. We obtain results akin to the well-known Mercer's theorem and, under a positive definiteness assumption on the generating kernel of the operator, we also deduce series representations for the kernel, traceability of the operator and an integration formula to compute the trace. In this way, we upgrade considerably similar results...
Integral Perturbations of Nonlinear Systems of Differential Equations
Integral repesentations and its applications in Clifford analysis.
Integral representations of unbounded operators by infinitely smooth kernels
In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily equivalent to an integral operator in L 2(R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly definable unitary operators.
Integralgleichungen erster Art und konformer Abbildung.
Integrální rovnice a jejich použití při některých problémech mechaniky, matematické fysiky a techniky [Book]
Integrální rovnice s nelineárními funkcionály
Integrální rovnice v teorii potenciálu
Integrated semigroups and integrodifferential equations.
Integrodifferential equations with analytic semigroups.
Integro-differential equations with time-varying delay
Integro-differential equations with time-varying delay can provide us with realistic models of many real world phenomena. Delayed Lotka-Volterra predator-prey systems arise in ecology. We investigate the numerical solution of a system of two integro-differential equations with time-varying delay and the given initial function. We will present an approach based on -step methods using quadrature formulas.