Identification of hysteric control influence operators representing smart actuators. I: Formulation.
Implicit and explicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings.
Implicit approximation methods for common fixed points of a finite family of strictly pseudocontractive mappings in Banach spaces
Implicit integral equations with discontinuous right-hand side
We consider the integral equation , with , and prove an existence theorem for bounded solutions where is not assumed to be continuous.
Implicit iteration methods with errors for discrete non-Lipschitzian families with perturbed mappings.
Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces.
Implicit iteration process of nonexpansive non-self-mappings.
Implicit predictor-corrector iteration process for finitely many asymptotically (quasi-)nonexpansive mappings.
Implicit variational-like inclusions involving general -monotone operators.
Impulsive integral equations in Banach spaces and applications.
In a Nonreflexive Space the Subdifferential is Not Onto.
Indépendance des fréquences par rapport aux solutions quasi- periodiques de certaines équations d'evolution non linéaires.
Inertial forward-backward splitting method in Banach spaces with application to compressed sensing
We propose a Halpern-type forward-backward splitting with inertial extrapolation step for finding a zero of the sum of accretive operators in Banach spaces. Strong convergence of the sequence of iterates generated by the method proposed is obtained under mild assumptions. We give some numerical results in compressed sensing to validate the theoretical analysis results. Our result is one of the few available inertial-type methods for zeros of the sum of accretive operators in Banach spaces.
Infinite dimensional extension of A. P. Calderòn's theorem on positive semidefinite biquadratic forms.
Infinite dimensional non-symmetric Borsuk-Ulam theorem
Infinite Iterated Function Systems: A Multivalued Approach
We prove that a compact family of bounded condensing multifunctions has bounded condensing set-theoretic union. Compactness is understood in the sense of the Chebyshev uniform semimetric induced by the Hausdorff distance and condensity is taken w.r.t. the Hausdorff measure of noncompactness. As a tool, we present an estimate for the measure of an infinite union. Then we apply our result to infinite iterated function systems.
Infinite products and paracontracting matrices.
Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities
We consider a reaction-diffusion system of activator-inhibitor type which is subject to Turing's diffusion-driven instability. It is shown that unilateral obstacles of various type for the inhibitor, modeled by variational inequalities, lead to instability of the trivial solution in a parameter domain where it would be stable otherwise. The result is based on a previous joint work with I.-S. Kim, but a refinement of the underlying theoretical tool is developed. Moreover, a different regime of parameters...
Integrable solutions of functional equations [Book]
Integral manifold of the parabolic differential equation with deviating argument