Nonlinear variational evolution inequalities in Hilbert spaces.
Nonlinearities in a second order ODE.
Nonlocal boundary value problem for second order abstract elliptic differential equation.
Nonlocal boundary value problems for elliptic-parabolic differential and difference equations.
Nonlocal Cauchy problems and their controllability for semilinear differential inclusions with lower Scorza-Dragoni nonlinearities
In this paper we prove the existence of mild solutions and the controllability for semilinear differential inclusions with nonlocal conditions. Our results extend some recent theorems.
Nonlocal Cauchy problems for first-order multivalued differential equations.
Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces
Nonlocal quasilinear damped differential inclusions.
Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
We study the existence of a mild solution to the nonlocal initial value problem for semilinear second-order differential inclusions in abstract spaces. The result is obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the result without any requirements for compactness of the right-hand side or of the cosine family generated by the linear operator.
Nonresonance impulsive higher order functional nonconvex-valued differential inclusions.
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces.
Note on multiplicative perturbation of local -regularized cosine functions with nondensely defined generators.
Note on some variational problem related to statistical solutions of differential equations in Banach spaces
The properties of statistical solutions for some general differential equations in Banach spaces are investigated.
Notes on almost-periodicity in topological vector spaces.
Novel method for generalized stability analysis of nonlinear impulsive evolution equations
In this paper, we discuss some generalized stability of solutions to a class of nonlinear impulsive evolution equations in the certain piecewise essentially bounded functions space. Firstly, stabilization of solutions to nonlinear impulsive evolution equations are studied by means of fixed point methods at an appropriate decay rate. Secondly, stable manifolds for the associated singular perturbation problems with impulses are compared with each other. Finally, an example on initial boundary value...
Numerical precision for differential inclusions with uniqueness
In this article, we show the convergence of a class of numerical schemes for certain maximal monotone evolution systems; a by-product of this results is the existence of solutions in cases which had not been previously treated. The order of these schemes is in general and when the only non Lipschitz continuous term is the subdifferential of the indicatrix of a closed convex set. In the case of Prandtl’s rheological model, our estimates in maximum norm do not depend on spatial dimension.
Numerical precision for differential inclusions with uniqueness
In this article, we show the convergence of a class of numerical schemes for certain maximal monotone evolution systems; a by-product of this results is the existence of solutions in cases which had not been previously treated. The order of these schemes is 1/2 in general and 1 when the only non Lipschitz continuous term is the subdifferential of the indicatrix of a closed convex set. In the case of Prandtl's rheological model, our estimates in maximum norm do not depend on spatial dimension. ...
Numerical studies of parameter estimation techniques for nonlinear evolution equations
We briefly discuss an abstract approximation framework and a convergence theory of parameter estimation for a general class of nonautonomous nonlinear evolution equations. A detailed discussion of the above theory has been given earlier by the authors in another paper. The application of this theory together with numerical results indicating the feasibility of this general least squares approach are presented in the context of quasilinear reaction diffusion equations.