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52.279  Articles
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The constructive conditions for the existence of solutions have been studied and generalized Green's operator for the linear periodic boundary value problem for system of ordinary differential equations with impulse perturbation have been searched.

The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the conventional ... see more

An open question in nonlinear dynamics is the relation between the Kolmogorov entropy and the largest Lyapunov exponent of a given orbit. Both have been shown to have diagnostic capability for phase transitions in thermodynamic systems. For systems with l... see more

Sufficient conditions for the existence of solutions of the periodic and anti-periodic boundary value problems for nonlinear functional difference equations are established, respectively.

We study a process of stationary diffusion in locally-periodic porous media with nonlinear absorption at the pore boundary. This process is described by a boundary-value problem for an elliptic equation considered in a complex perforated domain, with a no... see more

The present work is devoted to the study of a fourt-order differential equation set on a singular domain in R N+1. The existence and uniqueness of a periodic strict solution are discussed in the framework of H¨older spaces

Particular solutions of the Burgers equations (BE) with zero boundary conditions are investigated in an analytical form. For values of the shape parameter  greater than 1, but approximately equal to 1, the amplitude of the initial periodic perturbati... see more

Existing studies on elastic waves in periodically laminated piezoelectric structures mainly concerned the passive band properties, since the electrical boundaries in the considered structures cannot vary. This paper investigates the tuning of band propert... see more

In this research work, let’s focus on the construction of numerical scheme based on radial basis functions finite difference (RBF-FD) method combined with the Laplace transform for the solution of fractional order dispersive wave equations. The numerical ... see more

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