We consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space. Further, these techniques are used to obtain the solvability of general boundary value problems for a given class of inclusions. Som...

In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators survey the existence best proximity points (pairs) as well coupled in setting reflexive Busemann convex spaces. Then an application main result to study optimal solution for system differential equations is demonstrated.

Aims: Clinically, picture acuity tests are thought to overestimate visual acuity (VA) compared with letter tests, but this has not been systematically investigated in children with amblyopia. This study compared VA measurements with the LogMAR Crowded Kay Picture test to the LogMAR Crowded Keeler Letter acuity test in a group of young children with amblyopia. Methods: 58 children (34 male) with...

When solving boundary value problems on infinite intervals, it is possible to use continuation principles. Some of these principles take advantage of equipping the considered function spaces with topologies of uniform convergence on compact subintervals. This makes the representing solution operators compact (or condensing), but, on the other hand, spaces equipped with such topologies becomemor...

In this paper, we study existence of mild solutions for a second order impulsive neutral functional differential equations with state-dependent delay. By using a fixed point theorem for condensing maps combined with theories of a strongly continuous cosine family of bounded linear operators, we prove the main existence theorems. As applications of these obtained results, some practical conseque...

AIMS Clinically, picture acuity tests are thought to overestimate visual acuity (VA) compared with letter tests, but this has not been systematically investigated in children with amblyopia. This study compared VA measurements with the LogMAR Crowded Kay Picture test to the LogMAR Crowded Keeler Letter acuity test in a group of young children with amblyopia. METHODS 58 children (34 male) with...

In years to come, few of us will remember what we were doing on the 6 June 2013, but Jessica Meir will never forget the day when she answered a call and heard Janet Kavandi, Director of Flight Crew Operations at the NASA Johnson Space Center, say, 'Jessica, second time is a charm'. Not only had her life changed forever but also her lifelong dream had finally come true. Kavandi was calling to te...