On a boundary value problem for quasi-linear differential inclusions of evolution.
On a certain approximation property for first-order abstract differential equations
On a characterization of reflexive Banach spaces
On a class of differential equations in Banach space
On a class of multitime evolution equations with nonlocal initial conditions.
On a fixed point theorem for weakly sequentially continuous mapping
Let E be a metrizable locally convex topological vector space x ∈ E, and let D be a closed convex subset of E such that x ∈ D. In this paper we prove that the weakly sequentially continuous mapping F: D ∪ D which satisfies V̅ = c̅o̅n̅v̅({x} ∪ F(V))⇒ V is relatively weakly compact, has a fixed point. Employing the above results we prove the existence theorem for the Cauchy problem x'(t) = f(t,x(t)), x(0) = x₀. As compared with the previous...
On a higher-order evolution equation with a Stepanov-bounded solution.
On a nonlinear compactness lemma in .
On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces
This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.
On a result of Etgen and Lewis
On a solution of nonlinear differential equation of Mikusinski operators W' (z) = -s... a (z) W... (z).
On A Solution Of The Nonlinear Differential Equation Of Mikusinski Operators W'(z)=-sαa(z)Wn+1(z)
On a spectral criterion for almost periodicity of solutions of periodic evolution equations.
On a theorem of Browder
On a Theorem of Mierczyński
We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
On a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation
On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
On a type of linear differential equations in Fréchet spaces
On almost automorphic solutions of linear operational-differential equations.
On almost periodic solutions of the differential equation in Hilbert spaces.