In this paper, we use parametric form of fuzzy number, then aniterative approach for obtaining approximate solution for a classof nonlinear fuzzy Fredholmintegro-differential equation of the second kindis proposed. This paper presents a method based on Newton-Cotesmethods with positive coefficient. Then we obtain approximatesolution of the nonlinear fuzzy integro-differential equations by an it...

Suppose that the inverse scattering problem is understood as follows: given fixed-energy phase shifts, corresponding to an unknown potential q = q(r) from a certain class, for example, q ∈ L 1,1 , recover this potential. Then it is proved that the Newton-Sabatier (NS) procedure does not solve the above problem. It is not a valid inversion method, in the following sense: 1) it is not possible to...

We report on an observation of the Anomalous X– ray Pulsar 1E 1048.1–5937 performed with the XMM-Newton satellite. The phase averaged spectrum of 1E 1048.1–5937 is well described by the sum of a power law with photon index ∼2.9 and a blackbody with temperature ∼0.6 keV, without evidence for significant absorption or emission lines. The above spectral parameters do not vary during the phases cor...

It is widely accepted that the notion of inertial frame is central to Newtonian mechanics, and that the correct space-time structure underlying Newton’s methods in Principia is neo-Newtonian or Galilean space-time. I argue to the contrary that inertial frames are not needed in Newton’s theory of motion, and that the right space-time structure for Newton’s Principia requires the notion of parall...

Newton’s inequalities cn ≥ cn−1cn+1 are shown to hold for the normalized coefficients cn of the characteristic polynomial of any Mor inverse M-matrix. They are derived by establishing first an auxiliary set of inequalities also valid for both of these classes. They are also used to derive some new necessary conditions on the eigenvalues of nonnegative matrices.

Definitions of non-relativistic conformal transformations are considered both in the Newton-Cartan and in the Kaluza-Klein-type Eisenhart/Bargmann geometrical frameworks. The symmetry groups that come into play are exemplified by the cosmological, and also the Newton-Hooke solutions of Newton’s gravitational field equations. It is shown, in particular, that the maximal symmetry group of the sta...

Suppose that the inverse scattering problem is understood as follows: given fixed-energy phase shifts, corresponding to an unknown potential q = q(r) from a certain class, for example, q ∈ L 1,1 , recover this potential. Then it is proved that the Newton-Sabatier (NS) procedure does not solve the above problem. It is not a valid inversion method, in the following sense: 1) it is not possible to...

In this work, we propose a semi-analytical solution for Simple Compartmental Models, more specifically the SIR Model. From system of ordinary differential equations itself, with change variable through an extended domain-based mapping, seek to build sharing solutions paths field function, generated by partial equation. Using characteristic method, obtain exact function in terms arbitrary whose ...