For a certain Frechet space F consisting of complex-valued C∞ even functions defined on R and rapidly decreasing as |x| → ∞, we show that if ν is any complex number, • The pseudo-differential operator (-) is an automorphism ...

Converging waves with nonzero initial critical amplitude are completely characterized. It is shown that for a converging wave a necessary and sufficient condition for the initial critical amplitude to be zero is that the ...

A multiobjective control problem is considered. Duality results are obtained for Mond-Weir-type duals under V-invexity assumptions and their generalizations.

In this paper, a generalized ratio invexity concept has been applied for single objective fractional programming problems. A concept which has been invoked seems to be more general than the one used earlier by Khan and ...

Egudo derived some duality theorems for Multi-objective programs using the concept of efficiency coupled with some generalized convexity assumptions on the objective and constraint functions. The main results of the present ...

For a certain Fréchet space F consisting of complex-valued C°° functions defined on / = (0, oo) and characterized by their asymptotic behaviour near the boundaries, we show that: (I) The pseudo-differential operator ...

A class of multiobjective fractional variational problems is considered and duals are formulated. Under concavity assumptions on the functions involved, duality theorems are proved through a parametric approach to relate ...

The influence of magnetic field on the process of steepening or flattening of the characteristic wave fronts in a plane and cylindrically symmetric motion of an ideal plasma is investigated. This aspect of the problem has ...

In this paper, we present a convergent collocation method with which to find the numerical solution of a generalized fractional integro-differential equation (GFIDE). The presented approach is based on the collocation ...