This study investigates the temperature viscosity and Hall effects of a Casson fluid flow through porous medium viscous incompressible bounded by two parallel plates under influence thermal radiation chemical reaction. A uniform suction injection are applied perpendicular to while motion is subjected variable pressure gradient. The transformed conservation equations solved analytically subject ...

This paper develops a spectral theory of Markovian asset pricing models where the underlying economic uncertainty follows a continuous-time Markov process X with a general state space (Borel right process (BRP)) and the stochastic discount factor (SDF) is a positive semimartingale multiplicative functional of X. A key result is the uniqueness theorem for a positive eigenfunction of the pricing ...

Ah&met-The work is concerned with eigenfunction-expItnsion solutions to the forward FokkerPlanck equation associated with a specific, non-linear, first-order system subject to white noise excitation. Using a digital computer, a substantial number of new terms in the expansions have been generated. With this new information, inverted Domb-Sykes plots revealed a pattern in the coefficients for ce...

It is known that the first eigenfunction of the clamped plate equation, ∆φ = λφ in Ω with φ = ∂ ∂n φ = 0 on ∂Ω, is not necessarily of fixed sign. In this article, we survey the relations between domains Ω and the sign of that first eigenfunction.

The eigenfunction approach used for discrete symmetries is deduced from the concept of quantum numbers. We show that the irreducible representations (irreps) associated with the eigenfunctions are indeed a shorthand notation for the set of eigenvalues of the class operators (character table). The need of a canonical chain of groups to establish a complete set of commuting operators is emphasize...

In this paper, the problem of an oscillator traversing an elastically supported continuum is studied. The flexibility in the boundaries of the continuum is modeled by linear, transverse springs. The response of the continuum and the dynamic interaction force between the moving oscillator and the continuum are evaluated by an eigenfunction expansion series. To circumvent convergence difficulties...

Simple theorems relating a quantum mechanical system to the corresponding classical one at equilibrium and connecting the quantum eigenvalues to the frequencies of normal modes oscillations are presented. Corresponding to each quantum eigenfunction, a ‘classical eigenfunction’ is associated. Those belonging to ‘elementary excitations’ play an important role.

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and Kratzer potentials in two dimensions. The energy levels of all the bound states are easily calculated from this eigenfunction ansatz. The normalized wavefunctions are also obtained.

To improve the efficiency of wireless power transfer (WPT) system without increasing size, a central bulge ferrite core with novel configuration is proposed. The mutual inductance between magnetic coupling structures able to increase obviously, which approved by eigenfunction expansion method. In this paper, mathematical models planar and are established, respectively, as two types calculated i...