This paper investigates the existence and uniqueness of solutions to rst-order nonlinear boundary value problems (BVPs) involving fuzzy dif- ferential equations and two-point boundary conditions. Some sucient condi- tions are presented that guarantee the existence and uniqueness of solutions under the approach of Hukuhara dierentiability.

In recent years, many authors are greatly attached to investigation for the existence and uniqueness of solution of Duffing equations, for example, 1–11 , and so forth. Some authors 8, 11, 12 , etc. proved the existence and uniqueness of solution of Duffing equations underC2 perturbation functions and other conditions at nonresonance by employingminimax theorems. In 1986, Tersian investigated t...

Ordinary differential equations that includes stochastic processes in their vector fields are called random ordinary equations, considered through this work as a Weiner process or also Brownian motion. In paper, fuzzy considered, which the fuzziness appears initial conditions terms of triangular numbers. Such crucial theory dynamical systems and/or modern control and therefore existence unique ...

The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

The purpose of this note is to state a collection of results, all related to questions of uniqueness of smooth neighborhoods of finite complexes as imbedded (nicely) in differentiable manifolds. The reported results will appear in subsequent papers, the first of which is [l ]. The approach taken is always via the theory of simple homotopy types (due to J. H. C. Whitehead), and the main theorem ...

This paper investigates the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations. A necessary and sufficient condition for the existence and uniqueness of smooth positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f t, u, v may ...

Morse 2-functions and trisections of 4-manifolds (Room 1.316) Robion Kirby (University of California, Berkeley) I’ll talk about work with David Gay which extends the notion of a Morse function f : M → R to a function from a 4-manifold X to a 2-dimensional surface. Just as the former gives an existence and uniqueness theorem for Heegaard splittings of a 3-manifold M , the latter gives existence ...