Analysis of aperture-coupled microstrip antennas with a superstrate using space domain closed form Green's functions is presented. Integral equations are derived from applying the boundary conditions on the radiating patch, across the aperture, and on the microstrip feedline. The computation of space domain green's functions is performed using the closed-form. The solution of the integral equat...

We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces and on the density of the range of the linear operator associated to the abstract formulation...

and Applied Analysis 3 Lemma 2.5. Let α > 0 then

In this paper, we study a mixed problem for a third order parabolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method. Mathematics Subject Classification: 35B45, 35K35

in this paper we study the relationships existing between total measurability in variation and gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on finite unions of disjoint atoms. we also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regula...

Previous work in the literature has studied gravitational radiation in black-hole collisions at the speed of light. In particular, it had been proved that the perturbative field equations may all be reduced to equations in only two independent variables, by virtue of a conformal symmetry at each order in perturbation theory. The Green function for the perturbative field equations is here analyz...

Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. An example is provided to illustrated the applicability of the method.

1. INTRODUCI7ON We study certain Sobolev-type regularizations of the hyperbolic conservation laws that add terms simulating both dissipative and dispersive processes. These evolution equations have the form with the auxiliary specification The behaviour in L'(R) of the solutions of problem (S), as well as the value of (S) as an approximation to problem (C), is studied. Convergence results, with...