Abstract It is well known that the distribution of extreme values strictly stationary sequences differ from those independent and identically distributed in extremal clustering may occur. Here we consider non-stationary but random variables subject to suitable long range dependence restrictions. We find limiting appropriately normalized sample maxima depends on a parameter measures average sequ...

Abstract We study coagulation equations under non-equilibrium conditions which are induced by the addition of a source term for small cluster sizes. consider both discrete and continuous equations, allow large class rate kernels, with main restriction being boundedness from above below certain weight functions. The functions depend on two power law parameters, assumptions cover, in particular, ...

In this study we provide several significant generalisations of Banach contraction principle where the Lipschitz constant is substituted by real-valued control function that a comparison function. We non-stationary variants fixed-point. particular, article looks into “trajectories maps defined systems” which are regarded as generalizations traditional iterated system (IFS). The importance forwa...

The effect of the linear and nonlinear properties beam's material on dynamic behavior a structure under different kinematic influences is investigated. With an account for viscoelastic material, problem consideration reduced to system small-order or integro-differential equations by selection coordinate functions satisfying geometric boundary conditions; solved averaging method using quadrature...

Original scientific paper The objectives of this paper are to perform a comparative analysis of the large-scale system of a high-pier railway bridge subjected to stationary and nonstationary spatially varying earthquake excitations using the pseudo-excitation method (PEM), and to estimate whether or not the non-stationary stochastic analysis of the high-pier railway bridges under tri-directiona...