A large class of explicit hyperbolic monopole solutions can be obtained from JNR instanton data, if the curvature of hyperbolic space is suitably tuned. Here we provide explicit formulae for both the monopole spectral curve and its rational map in terms of JNR data. Examples with platonic symmetry are presented, together with some one-parameter families with cyclic and dihedral symmetries. Thes...

Abstract We treat several classes of hyperbolic stochastic partial differential equations in the framework white noise analysis, combined with Wiener–Itô chaos expansions and Fourier integral operator methods. The input data, boundary conditions coefficients operators are assumed to be generalized processes that have both temporal spatial dependence. prove under consideration unique solutions a...

Analysis of aperture-coupled microstrip antennas with a superstrate using space domain closed form Greens 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 greens functions is performed using the closed-form. The solution of the integral equatio...

Abstract In this article, we consider a class of finite rank perturbations Toeplitz operators that have simple eigenvalues on the unit circle. Under suitable assumption behavior essential spectrum, show such are power bounded. The problem originates in approximation hyperbolic partial differential equations with boundary conditions by means difference schemes. Our result gives positive answer t...

Our aim is to present some common fixed point theorems in bipolar metric spaces via certain contractive conditions. Some  examples have been provided to illustrate the effectiveness of new results. At the end, we give two applications dealing with homotopy theory and integral equations.

This paper includes various parts of the theory of mixed type partial differential equations with initial and boundary conditions in fluid mechanics ,such as: The classical dynamical equation of mixed type due to Chaplygin (1904), regularity of solutions in the sense of Tricomi (1923) and in brief his fundamental idea leading to singular integral equations, and the new mixed type boundary value...

we reduce the two phase stefan problem with kinetic to a system of nonlinear volterra integral equations of second kind and apply newton's method to linearize it. we found product integration solution of the linear form. sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with an example.