in this paper, a new approach for solving the second order fuzzy differential equations (fde) with fuzzy initial value, under strongly generalized h-differentiability is presented. solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

A maximum principle is proved for the weak solutions u ∈ L∞(R× T3) of the telegraph equation utt − xu + cut + λu = f (t, x), in space dimension three, when c > 0, λ ∈ (0, c2/4] and f ∈ L∞(R × T3) (Theorem 1). The result is extended to a solution and a forcing belonging to a suitable space of bounded measures (Theorem 2). Those results provide a method of upper and lower solutions for the semili...

In this paper we study the large-time behavior of perturbative classical solutions to the hard and soft potential Boltzmann equation without the angular cut-off assumption in the whole space Rx with n ≥ 3. We use the existence theory of global in time nearby Maxwellian solutions from [13,14]. It has been a longstanding open problem to determine the large time decay rates for the soft potential ...

In this paper, a new approach for solving the second order fuzzy differential equations (FDE) with fuzzy initial value, under strongly generalized H-differentiability is presented. Solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

The ham-sandwich theorem states that, given d ≥ 2 measures in R, it is possible to divide all of them in half with a single (d − 1)-dimensional hyperplane. We study an orthogonal version of the ham-sandwich theorem and define an orthogonal cut using at most d hyperplanes orthogonal to coordinate axes. For example, a hyperplane orthogonal to a coordinate axis and the boundary of an orthant are o...