We develop a functional model for operators arising in the study of boundary-value problems materials science and mathematical physics. then provide explicit formulae resolvents associated extensions symmetric terms appropriate Dirichlet-to-Neumann maps, which can be utilised analysis properties parameter-dependent problems, including their spectra.

In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficient is positive crisp number and coefficient is negative crisp number. Here fuzzy numbers are taken as generalized trapezoidal intutionistic fuzzy numbers (GTrIFNs). Further a numerical example is illustrated.