Regularity of potentials and removability of singularities of solutions of partial differential equations
Relaxation lengths and nonnegative solutions in neutron transport
Relaxation oscillations in systems with different time scales
Remarks on the economic criterion - the Internal rate of return
The internal rate of return (IRR) together with the present value (PV) is used as a popular measure for financial project. When used appropriately, it can be a valuable aid in project acceptance or selection. The purpose of this article is to survey the facts about this criterion published so far. More, we investigate the cases of multiple or nonexistent IRRs and try to choose the relevant one and explain its economic meaning.
Remarks to chaotic vibration in nonlinear dynamical systems
Resonance behaviour of the spherical pendulum damper
The pendulum damper modelled as a two degree of freedom strongly non-linear auto-parametric system is investigated using two approximate differential systems. Uni-directional harmonic external excitation at the suspension point is considered. Semi-trivial solutions and their stability are analyzed. The thorough analysis of the non-linear system using less simplification than it is used in the paper [2] is performed. Both approaches are compared and conclusions are drawn.
Riemann problem solutions that are stable to perturbation
Riemann solution for hyperbolic equations with discontinuous coefficients
This paper deals with a Riemann solution for scalar hyperbolic equations with discontinuous coefficients. In many numerical schemes of Godunov type in fluid dynamics, electromagnetic and so on, usually hyperbolic problems are solved to estimate fluxes. The exact solution is generally difficult to obtain, but good approximations are provided in many situations like Roe and HLLC Riemann solvers in fluid. However all these solvers assumes that the acoustic waves speeds are continuous which is not...
Semi-implicit discretization of abstract evolution equations
Singular lines in liquid crystals
Singular perturbations and linear feedback control
Singular perturbations with several parameters
Solution of nonlinear degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces
Solution of symmetric positive systems of differentional equations
Solution set properties for some nonlinear parabolic differential equations
Solutions of hypersingular integral equations over circular domains by a spectral method
The problem of a solving a class of hypersingular integral equations over the boundary of a nonplanar disc is considered. The solution is obtained by an expansion in basis functions that are orthogonal over the unit disc. A Fourier series in the azimuthal angle, with the Fourier coefficients expanded in terms of Gegenbauer polynomials is employed. These integral equations appear in the study of the interaction of water waves with submerged thin plates.
Solutions to a differential inclusion of order
Solvability and bifurcations of some strongly nonlinear equations
Solvability properties of semilinear operator equations
Some differential equations with delay