This paper proposes a numerical method to the two-dimensional hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation is of major challenge in the frame work of the numerical solutions of PDEs. The method benefits from collocation radial basis function method, the generalized thin plate splines radial basis functions are used.Therefore, it does not require any str...

This paper deals with the problem of delay-range-dependent robust passivity analysis uncertain neutral-type neural networks distributed interval time-varying delay under effects leakage delay. The uncertainties consideration are norm-bounded and restriction on derivative discrete delays is removed, which means that a fast allowed. By applying novel Lyapunov-Krasovskii functional approach, impro...

This work deals with a Timoshenko equation delay term and variable exponents. Firstly, we obtain the blow up of solutions for negative initial energy in finite time. Later, establish decay results by using an integral inequality due to Komornik. These, improve extend previous studies literature.

This paper discusses the S-asymptotically periodic problem of fractional evolution equation with delay. By introducing a new noncompact measure theory involving infinite interval, we study existence mild solutions under situation that relevant semigroup is and nonlinear term satisfies more general growth conditions instead Lipschitz-type conditions. Moreover, by establishing Gronwall-type integ...

‎in this study‎, ‎properties of spectral characteristic are investigated for‎ ‎singular sturm-liouville operators in the case where an eigen‎ ‎parameter not only appears in the differential equation but is‎ ‎also linearly contained in the jump conditions‎. ‎also weyl function‎ ‎for considering operator has been defined and the theorems which‎ ‎related to uniqueness of solution of inverse proble...

The characteristics of dielectric backed planar conducting layers of arbitrarily shaped in a rectangular waveguide are calculated by means of coupled integral equation technique (CIET) which accurately takes higher order mode interactions. Equivalent structures for the accurate analysis whole structure are introduced in which magnetic surface currents are identified as the unknowns at the apert...

A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical res...

Abstract In this work, we study the existence of one and exactly solution x ? C [ 0 , 1 ] x\in C\left[0,1] , for a delay quadratic integral equation Volterra-Stieltjes type. As special cases fractional order Ch...

in this paper, we propose a new method for the numerical solution of two-dimensional linear and nonlinear volterra integral equations of the first and second kinds, which avoids from using starting values. an existence and uniqueness theorem is proved and convergence isverified by using an appropriate variety of the gronwall inequality. application of the method is demonstrated for solving the ...

Understanding the neural field activity for realistic living systems is a challenging task in contemporary neuroscience. Neural fields have been studied and developed theoretically and numerically with considerable success over the past four decades. However, to make effective use of such models, we need to identify their constituents in practical systems. This includes the determination of mod...