Some existence results for differential equations with both retarded and advanced arguments
Abstract Existence, uniqueness an monotone approximation of solutions to the Cauchy problem for differential equations with both advanced and retarded…
2002
Fixed point theorems for acyclic multivalued maps and inclusions of Hammerstein type
AbstractThe aim of this lecture is to present a new compactness method for operator inclusions in general, and for Hammerstein…
Abstract generalized quasiliniarization method for coincidences
Abstract An abstract unified theory of both monotone iterative and generalized quasilinearization methods is presented for operator equations of coincidence…
Integrable solutions of Hammerstein integral inclusions in Banach spaces
AbstractIn this paper we present a common existence theory for both continuous and integrable solutions to Hammerstein inclusions in Banach…
Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps
AbstractWe apply Monch type fixed point theorems for acyclic multivalued maps to the solvability of inclusions of Hammerstein type in…
Block incremental unknowns for anisotropic elliptic equations
AbstractIn this article, we define the notion of block incremental unknowns for anisotropic elliptic equations. Written in a block structure,…
On an approximation operator and its Lipschitz constant
AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…
Numerical Modeling of Solute Transport in Heterogeneous Aquifers
AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy H. Vereecken…
Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation
AbstractIn this paper, we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate…
Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part I. Direct (variational) approximation
AbstractPublisher NameWe consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has…