Nonlinear boundary value problems at resonance for differential equations in Banach spaces
Nonlinear evolution equations.
Nonlinear evolution equations on Banach space.
Nonlinear impulsive Volterra integral equations in Banach spaces and applications.
Nonlinearities in a second order ODE.
Nonlocal Cauchy problems for first-order multivalued differential equations.
Nonlocal quasilinear damped differential inclusions.
Nonresonance impulsive higher order functional nonconvex-valued differential inclusions.
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces.
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.
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 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.
On a boundary value problem for quasi-linear differential inclusions of evolution.
On a characterization of reflexive Banach spaces
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 nonlinear compactness lemma in .
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 an elasto-dynamic evolution equation with non dead load and friction
In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.
On an infinite-dimensional differential equation in vector distributions with discontinuous regular functions on the right hand side.