This paper presents sufficient condition for exponential stability with a given convergence rate and asymptotically stability of linear parameter dependent (LPD) delay system and gives sufficient condition for stabilizability of LPD delay control system. We use appropriate Lyapunov functions and derive stability condition in term of linear matrix inequality (LMI).

this paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). in this problem q(x), d, a , b are real, qin l^2(0,pi), din(0,pi) and lambda is a parameter independent of x. by ...

in this paper, we investigate the delay-dependent robust stability of fuzzy cohen-grossberg neural networks with markovian jumping parameter and mixed time varying delays by delay decomposition method. a new lyapunov-krasovskii functional (lkf) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

In this paper, we consider the inverse nodal problem for a quadratic pencil of Sturm$-$Liouville equations with parameter-dependent Bitsadze$-$Samarskii type nonlocal boundary condition and give an algorithm reconstruction potential functions by obtaining asymptotics points.

We propose wormholes solutions by assuming space dependent equation of state parameter. Our models show that the existence of wormholes is supported by phantom energy. Here, the phantom energy is characterized by variable equation state parameter. We show that the averaged null energy condition (ANEC) violating phantom energy can be reduced as desired.

subsurface drainage systems are used to control the depth of the water table and to reduce or prevent soil salinity. water flow in these systems is described by the boussinesq equation, and the advection-dispersion equation coupled with the boussinesq equation is used to study the solute transport. the objective of this study was to propose a finite difference solution of the advection-dispersi...