Functional separation of variables for Laplace equations in two dimensions

on the existence of solutions for a class of systems of functional integral equations of volterra type in two variables

the aim of this paper is to show how some measures of noncompactness in the banach space of continuous functions defined on two variables can be applied to the solvability of a general system of functional integral equations . the results obtained generalize and extend several equations . an illustrative example is also presented .

existence of solutions for a class of functional integral equations of volterra type in two variables via measure of noncompactness

this paper presents some results concerning the existence of solutions for a functional integral equation of volterra type in two variables, via measure of noncompactness. two examples are included to illustrate the main result.

Equations in Two Space Variables

Hölder estimates for spatial second derivatives are proved for solutions of fully nonlinear parabolic equations in two space variables. Related techniques extend the regularity theory for fully nonlinear parabolic equations in higher dimensions.

Discrete Dubrovin Equations and Separation of Variables for Discrete Systems

A universal system of difference equations associated with a hyperelliptic curve is derived constituting the discrete analogue of the Dubrovin equations arising in the theory of finite-gap integration. The parametrisation of the solutions in terms of Abelian functions of Kleinian type (i.e. the higher-genus analogues of the Weierstrass elliptic functions) is discussed as well as the connections...

Fuzzy laplace transform on two order derivative and solving fuzzy two order differential equations