A unified existence theory for evolution equations and systems under nonlocal conditions
AbstractWe investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of…
2015
Variational properties of the solutions for second-order differential equations and systems on semi-line
AbstractIn this article, an abstract theory regarding variational properties of the fixed points of contractions and Perov contractions is applied…
Addendum to the paper “an iterative method for a functional-differential equation of second order with mixed type argument“
AbstractAuthors Diana Otrocol, Tiberiu Popoviciu Institute of Numerical Analysis of Romanian Academy, Cluj-Napoca, Romania Veronica Ilea, Department of Applied Mathematics,…
Some properties of solutions of the homogeneous nonlinear second order differential equations
Abstract In this paper we consider the following nonlinear homogeneous second order differential equations, \(F(x,y,y^{\prime},y^{\prime\prime})=0.\) We present for the solutions,…
Convergence results for contact problems with memory term
AbstractIn this paper, we consider two quasistatic contact problems. The material’s behavior is modelled with an elastic constitutive law for…
Conjugate free convection in a vertical channel filled with nanofluid
AbstractThe steady natural conjugate convection in a long vertical channel filled with a nanofluid and including internal heat generation is…
Detection of low level periodic signals through enhanced self-correlation method. The case of ER Vulpeculae
AbstractThe self-correlation (SC) method proposed three decades ago by Percy, Jakate and Matthews is a complementary time series analysis method…
Laguerre collocation solutions vs. analytic results for singular semilinear BVPs on the half line
AbstractWe make use of two Laguerre collocation techniques as a way to illustrate, deepen or extend some analytic results of…
Pseudospectral solutions to some singular nonlinear BVPs. Applications in nonlinear mechanics
AbstractWe solve by Laguerre collocation method two second order genuinely nonlinear singularly perturbed boundary value problems and a fourth order…
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems
AbstractIn numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain that…