Degenerate and Singular Evolution Equations in Banach Space.
Deterministic homogenization of parabolic monotone operators with time dependent coefficients.
Differential Equations in Abstract Cones
We extend the method of quasilinearization to differential equations in abstract normal cones. Under some assumptions, corresponding monotone iterations converge to the unique solution of our problem and this convergence is superlinear or semi–superlinear
Differential equations in banach space and henstock-kurzweil integrals
In this paper, using the properties of the Henstock-Kurzweil integral and corresponding theorems, we prove the existence theorem for the equation x' = f(t,x) and inclusion x' ∈ F(t,x) in a Banach space, where f is Henstock-Kurzweil integrable and satisfies some conditions.
Differential-algebraic equations in the theory of invariant manifolds for singular equations.