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Keyword: Eigenvalue
Generalized Integral Transform Method for Bending and Buckling Analysis of Rectangular Thin Plate with Two Opposite Edges Simply Supported and Other Edges Clamped
This paper presents the generalized integral transform method for solving flexural and elastic stability problems of rectangular thin plates clamped along and simply supported along remaining boundaries (x = 0, x = a) (CSCS plate). The considered plate is homogeneous, isotropic and carrying uniformly distributed transversely applied loading causing bending. Also studied, is a plate…
Read More Qualitative Properties of a Cell Proliferating Model with Multi-phase Transition and Age Structure
In this paper we study a cell division cycle modeled by a system of partial differential equations with an age structure. This model translates the many regulatory mechanisms within the cell cycle where it introduces the notion of phases. The individual cell can be either in I phases where the transition between theses phases are…
Read More Harmonic Sensitivity Analysis of Power System with Wind Power
As the contribution from renewable energy sources increase, the power quality degradation has become a challenge for the power system operator. There are major two factors causing power quality deterioration. First is the current harmonic generation by the power electronic converters used in renewable energy sources, and second is the magnification of harmonic voltage due…
Read More On the Spectrum of problems involving both \(p(x)\)-Laplacian and \(P(x)\)-Biharmonic
We prove the existence of at least one non-decreasing sequence of positive eigenvalues for the problem, $$\begin{gathered}\left\{ \begin{array}{ll} \Delta_{p(x)}^{2}u-\triangle_{p(x)}u= \lambda |u|^{p(x)-2}u, \ \ \quad in \ \Omega \\ u\in W^{2,p(x)}(\Omega)\cap W_{0}^{1,p(x)}(\Omega),\end{array}\right. \end{gathered}$$ Our analysis mainly relies on variational arguments involving Ljusternik-Schnirelmann theory.
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