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Electrochemical properties and kinetic parameters of LiMn2O4 electrodes with different binders were investigated. We used such binders as eco-friendly water-based conductive combined binder poly(3,4-ethylenedioxythiophene): polystyrenesulfonate with carboxymethylcellulose (PEDOT:PSS/CMC) and polyvinylidene fluoride (PVDF) dissolved in N-methylpyrrolidinone (NMP). Effect of long-term cycling on the kinetic parameters was investigated by electrochemical impedance spectroscopy (EIS).

We develop a theory which allows making qualitative conclusions about the dynamics of both monotone and non-monotone Moreau sweeping processes. Specifically, we first prove that any sweeping processes with almost periodic monotone right-hand-sides admits a globally exponentially stable almost periodic solution. And then we describe the extent to which such a globally stable solution persists under non-monotone perturbations.

Abstract: We consider a nonsmooth bifurcation equation depending on a small parameter $${\varepsilon > 0}$$ . In Theorem 1 we provide conditions ensuring the existence of branches of solutions, smoothly depending on $${\varepsilon}$$ , emanating from a curve of solutions of the bifurcation equation when $${\varepsilon = 0.}$$ Several examples will illustrate the different types of bifurcation that occur in the present nonsmooth case.

Let A : D(A) → E, D(A) ⊂ E; be an infinitesimal generator either of an analytic compact semigroup or of a contractive C0-semigroup of linear operators acting in a Banach space E. In this paper we give both necessary and sufficient conditions for bifurcation of T- periodic solutions for the equation ẋ = Ax + f(t, x) + εg(t, x, ε) from a k-parameterized family of T-periodic solutions of the unperturbed equation corresponding to ε = 0. We show that by means of a suitable modification of the classical Mel’nikov approach we can construct a bifurcation function and to formulate the conditions for the existence of bifurcation in terms of the topological index of the bifurcation function. To do this, since the perturbation term g is only Lipschitzian we need to extend the classical Lyapunov- Schmidt reduction to the present nonsmooth case.

We provide a new result of existence of equilibria of a single-valued Lipschitz function on a compact set of which is locally the epigraph of a Lipschitz functions (such a set is called epilipschitz set). Equivalently this provides existence of fixed points of the map . The main point of our result lies in the fact that we do not impose that is an "inward vector" for all point of the boundary of . Some extensions of the existence of equilibria result are also discussed for continuous functions and set-valued maps.

In this paper a nonlinear planar autonomous system having a limit cycle of period Twhich is perturbed by a small parameter nonautonomous T-periodic nonlinear term is considered. By using the topological index of the equilibrium points of the unperturbed system and a geometric condition on the perturbation, similar to the condition of the guiding function method as introduced by M. A. Krasnoselskii - A. I. Perov, the existence of T-periodic solutions of the perturbed system close as we like to the limit cycle of the autonomous system is proved.

We consider a system of two semilinear differential inclusions with infinitesimal generators of C0-semigroups. The nonlinear terms are of high frequency with respect to time and periodic with a specified period. Moreover, they are condensing in the state variables (x,y) with respect to a suitable measure of noncompactness. The goal of the paper is to give sufficient conditions to guarantee, for ∈>0 sufficiently small, the existence of periodic solutions and to study their behaviour as ∈→0. The main tool to achieve this is the topological degree theory for uppersemicontinuous, condensing vector fields.

In questo lavoro si dà un teorema di esistenza di soluzioni per un inclusione differenziale semilineare in uno spazio di Banach. Le ipotesi sono deboli in quanto si suppone che l'operatore lineare A sia il generatore di un semigruppo fortemente continuo, senza ipotesi di compattezza, e la non linerità multivoca sia semicontinua inferiormente, non necessariamente a valori convessi.

We use the method of the topological degree, the theory of fractional powers of positive operators, and the Grisvard formula together with results proved by G. Raugel and G. R. Sell to study the periodic solutions of the incompressible Navier–Stokes equations in a thin three-dimensional domain.

For a nonlinear autonomous damped wave equation in a thin domain we provide conditions ensuring the existence of periodic solutions in time. Our approach uses both methods developed by Hale and Raugel and methods based on the topological degree theory together with some results on the functionalization of parameter.

Electrochemical properties and kinetic parameters of LiMn2O4electrodes with different binders were investigated. We used such binders as eco-friendly water-based conductive combined binder poly(3,4-ethylenedioxythiophene): polystyrenesulfonate with carboxymethylcellulose (PEDOT:PSS/CMC) and polyvinylidene fluoride (PVDF) dissolved in N-methylpyrrolidinone (NMP). Effect of long-term cycling on the kinetic parameters was investigated by electrochemical impedance spectroscopy (EIS).