Nonlocal impulsive Cauchy problems for evolution equations.
On Edmunds-Triebel spaces.
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
Operational quantities derived from the norm and measures of noncompactness.
Perturbation results on semi-Fredholm operators and applications.
Quantification of the reciprocal Dunford-Pettis property
We prove in particular that Banach spaces of the form C₀(Ω), where Ω is a locally compact space, enjoy a quantitative version of the reciprocal Dunford-Pettis property.
Solvability of nonautonomous fractional integrodifferential equations with infinite delay.
Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.
Some results on multi-valued weakly jungck mappings in b-metric space
In this paper, the concept of multi-valued weak contraction of Berinde and Berinde [8] for the Picard iteration in a complete metric space is extended to the case of multi-valued weak contraction for the Jungck iteration in a complete b-metric space. While our main results generalize the recent results of Berinde and Berinde [8], they also extend, improve and unify several classical results pertainning to single and multi-valued contractive mappings in the fixed point theory. Our results also improve...
Strong convergence theorems of viscosity iterative methods for a countable family of strict pseudo-contractions in Banach spaces.