Separation for ordinary differential equation with matrix coefficient.
Single step methods for inhomogeneous linear differential equations in Banach space
Singular evolution problems, regularization, and applications to physics, engineering, and biology
Singular integral inequalities and stability of semilinear parabolic equations
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data
The purpose of this paper is to derive the error estimates for discretization in time of a semilinear parabolic equation in a Banach space. The estimates are given in the norm of the space for when the initial condition is not regular.
Solution sets of multivalued Sturm-Liouville problems in Banach spaces
We give some results about the topological structure of solution sets of multivalued Sturm-Liouville problems in Banach spaces.
Solutions of abstract hyperbolic equations by Rothe method.
Solutions to fractional differential equations with nonlocal initial condition in Banach spaces.
Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients
Solvability for a class of abstract two-point boundary value problems derived from optimal control.
Solvability of a multi-point boundary value problen of Neumann type.
Solvability of boundary value problems for operator-differential equations of mixed type: the degenerate case.
Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.
In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C0, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.
Some applications of Zygmund's lemma to nonlinear differential equations in Banach and Hilbert spaces
Some compactness methods in the theory of nonlinear evolution equations with applications to P.D.E.
Some existence results for boundary value problems of fractional semilinear evolution equations.
Some Periodicity Criteria for Functional Differential Equations.
Some quasivariational problems with memory
This note deals with a class of abstract quasivariational evolution problems that may include some memory effects. Under a suitable monotonicity framework, we provide a generalized existence result by means of a fixed point technique in ordered spaces. Finally, an application to the modeling of generalized kinematic hardening in plasticity is discussed.
Some remarks concerning a class of nonlinear evolution equations in Hilbert spaces
Some remarks concerning regularity of solutions for abstract differential equations