We study the local and global well posedness associated a 1D Benney-Luke model of higher order that models long water with small amplitude. We show that local mild solutions are already global mild solutions, in the case we have an appropriate Hamiltonian structure. We establish orbital stability of solitons using strongly the variational characterization of the ground state solutions and the i...

We consider the non-linear impulsive evolution equation u′(t) = Au(t) + f(t, u(t), Tu(t), Su(t)), 0 < t < T0, t 6= ti, u(0) = u0, ∆u(ti) = Ii(u(ti)), i = 1, 2, 3, . . . , p. in a Banach space X, where A is the infinitesimal generator of a C0 semigroup. We study the existence and uniqueness of the mild solutions of the evolution equation by using semigroup theory and then show that the mild solu...

In this paper, the existence of mild solutions for the fractional differential equations of neutral type with infinite delay is obtained under the conditions in respect of the Kuratowski’s measure of noncompactness. As an application, the existence of mild solution for some integrodifferential equation is obtained. keywords: fractional differential equation, neutral differential equation, mild ...

traumatic brain injury is a common entity. however cerebral infarction in infants is a rare entity while the diagnosis of this pathology in the pediatric population is usually difficult. the mild head trauma is rarely accompanied by intracranial injury and even less, with cerebral infarction. we herein report the first case of cerebral infarction after a mild brain trauma in a 2-year-old latin-...

background: the nonamnesic type of mild cognitive impairment (na?mci) is predementia state with subtle decline incognitive domains except memory. although cognitive rehabilitation (cr) has been investigated in amnesic type of mci, we could not find any trial that rehabilitated na?mci exclusively. we studied the effectiveness of cr on na?mci. materials and methods: this study was a blinded, rand...

Socially Assistive Robots (SAR) may help improve care delivery at home for older adults with cognitive impairment and reduce the burden of informal caregivers. Examining the views of these stakeholders on SAR is fundamental in order to conceive acceptable and useful SAR for dementia care. This study investigated SAR acceptance among three groups of older adults living in the community: persons ...

We prove a Filippov type existence theorem for mild solutions of a nonconvex evolution inclusion by applying the contraction principle in the space of selections of the multifunction instead of the space of solutions.

The ROBADOM project aims at conceiving an assistive robot capable of expressing some basic emotions and language in order to support the elderly with Mild Cognitive Impairment (MCI), living alone at home. In order to ensure the appropriateness of the design of this kind of robot, technical solutions as well as social, psychological and ethical issues of robot use in the elder care are investiga...

The ROBADOM project aims at conceiving an assistive robot capable of expressing some basic emotions and language in order to support the elderly with Mild Cognitive Impairment (MCI), living alone at home. In order to ensure the appropriateness of the design of this kind of robot, technical solutions as well as social, psychological and ethical issues of robot use in the elder care are investiga...