A stop over Jain operators and their generalizations
AbstractOn the last five decades the interest of the study of positive approximation processes have emerged with growing evidence. A…
Some fixed point results regarding convex contractions of Presić type
AbstractIn the present paper, we introduce new types of Presić operators. These operators generalize the well-known Istrăţescu mappings, known as…
Some fixed point results linked to α –β rational contractions and modified multivalued Hardy-Rogers operators
AbstractIn this paper two new fixed point results are studied. The first result is a theorem that involves (α −β)…
On the qualitative properties of functional integral equations with abstract Volterra operators
AbstractUsing the weakly Picard operators technique we establish existence, data dependence and comparison results of solutions for a functional integral equation…
Some properties of solutions to a planar system of nonlinear differential equations
AbstractIn this paper we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type…
An efficient step method for a system of differential equations with delay
AbstractUsing the step method, we study a system of delay differential equations and we prove the existence and uniqueness of…
Dhage iteration method for approximating solutions of nonlinear differential equations with maxima,
AbstractIn this paper we study the initial value problem of first order nonlinear differential equations with maxima and discuss the…
A mixed variational formulation of a contact problem with adhesion
AbstractA mathematical model describing the contact between a viscoplastic body and a deformable foundation is analyzed under small deformation hypotheses.…
A regularization method for a viscoelastic contact problem
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoelastic body and a deformable obstacle, the so-called…
A mixed variational formulation of a contact problem with wear
AbstractWe consider a mathematical model which describes the sliding frictional contact between a viscoplastic body and an obstacle, the so-called…
Publications
Diffusion in Random Fields. Applications to Transport in Groundwater
Book summaryA self-consistent theory of stochastic modeling of groundwater systems is presented. Mathematical theory is illustrated and complemented by numerical methods and simulation codes. doi: http://doi.org/10.1007/978-3-030-15081-5 book on publisher website…
Read More Methods of Newton and Newton-Krylov type
Books, Chebyshev method, Convergence orders, divided differences, eigenvalue/eigenvector problems, history, inexact/perturbed iterations, iterative methods, Krylov methods, linear systems in Rn, local convergence, Newton method, nonlinear systems in Rn, Numerical Analysis, secant/chord method, successive approximations
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by Krylov methods (GMRES, GMBACK, MINPERT) are also dealt with, as…
Read More Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions
AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern…
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