Averaging for retarded functional differential equations

We consider retarded functional differential equations in the setting of Kurzweil-Henstock integrable functions and we state an averaging result for these equations. Our result generalizes previous ones. (C) 2011 Elsevier Inc. All rights reserved.

STABILITY FOR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

It is known that retarded functional differential equations can be regarded as Banach-space-valued generalized ordinary differential equations (GODEs). In this paper, some stability concepts for retarded functional differential equations are introduced and they are discussed using known stability results for GODEs. Then the equivalence of the different concepts of stabilities considered here are proved and converse Lyapunov theorems for a very wide class of retarded functional differential equations are obtained by means of the correspondence of this class of equations with GODEs.

Commitment of the Mentally Ill in Maine: a History of Public Policy

This paper traces the historical development in the State of Maine of the procedures by which persons found to be mentally unsound can be committed to institutional care against their will. Beginning in 1820 and continuing to the present, specific changes in the statutes governing this area are noted. Both the criminal and civil commitment procedures are dealt with. Following the historical trace, pending legislation relating to the criminal commitment process is examined in detail. Finally, consideration is given to the need for a complete reexamination of the practice of involuntary commitment involving ethical and constitutional issues.

On retarded differential equations with impulses

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Some results on stability of retarded functional differential equations using dichotomic map techniques

This paper deals with the study of the stability of nonautonomous retarded functional differential equations using the theory of dichotomic maps. After some preliminaries, we prove the theorems on simple and asymptotic stability. Some examples are given to illustrate the application of the method. Main results about asymptotic stability of the equation x′(t) = -b(t)x(t - r) and of its nonlinear generalization x′(t) = b(t) f (x(t - r)) are established. © 1998 Kluwer Academic Publishers.

Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations

In this paper, we give sufficient conditions for the uniform boundedness and uniform ultimate boundedness of solutions of a class of retarded functional differential equations with impulse effects acting on variable times. We employ the theory of generalized ordinary differential equations to obtain our results. As an example, we investigate the boundedness of the solution of a circulating fuel nuclear reactor model.

Effect of preventive interventions in mentally ill parents on the mental health of the offspring: systematic review and meta-analysis

Mental illness in parents affects the mental health of their children. A systematic review and a meta-analysis of the effectiveness of interventions to prevent mental disorders or psychological symptoms in the offspring were performed.

[How can the mentally ill achieve sustained employment? Supported employment versus pre-vocational training]

People with severe mental disorders are often without work, although work may have a positive effect on their health. The paper presents some results in this field from the German S3 guidelines on psychosocial therapies. In terms of evidence-based medicine supported employment (SE - first place then train) has proven to be most effective. Nevertheless, SE is still rare in Germany. Pre-vocational training, however, follows the concept first train then place and is offered in rehabilitation of the mentally ill (RPK) centres in Germany. There is some evidence that the programs are beneficial for users. The UN Convention for the Rights of Persons with Disabilities outlines an obligation for work on an equal basis with others and for vocational training. So far, the German mental health system only partly meets these requirements.

Thinner cortex in the frontal lobes in mentally disordered offenders

Antisocial and violent behaviour have been associated with both structural and functional brain abnormalities in the frontal and the temporal lobes. The aim of the present study was to assess cortical thickness in offenders undergoing forensic psychiatric assessments, one group with psychopathy (PSY, n=7) and one group with autism spectrum disorder (ASD, n=7) compared to each other as well as to a reference group consisting of healthy non-criminal subjects (RG, n=12). A second aim was to assess correlation between scores on a psychopathy checklist (PCL-SV) and cortical thickness. Magnetic resonance imaging (MRI) and surface-based cortical segmentation were used to calculate cortical thickness. Analyses used both regions of interest and statistical maps. When the two groups of offenders were compared, there were no differences in cortical thickness, but the PSY group had thinner cortex in the temporal lobes and in the whole right hemisphere compared to RG. There were no differences in cortical thickness between the ASD group and RG. Across subjects there was a negative correlation between PCL-SV scores and cortical thickness in the temporal lobes and the whole right hemisphere. The findings indicate that thinner cortex in the temporal lobes is present in psychopathic offenders and that these regions are important for the expression of psychopathy. However, whether thinner temporal cortex is a cause or a consequence of the antisocial behaviour is still unknown.

An Elaboration of the Psycho-Physiological Method and its Application on the Process of Socialization of Mentally Handicapped People

The socialisation of mentally handicapped people is a long-term process during which the disabled person learns new habits and abilities step by step through education and training. Anxiety and neuroses due to an inadequate social environment can place obstacles in the path of the disabled person's integration into society. A method of regulating the psycho-physiological condition of mentally handicapped people (MRPC) was developed in order to reduce anxiety and neuropsychological tension and to establish positive social attitudes. Both verbal and non-verbal means of manipulating the psycho-physiological condition were used and experimental and control groups were formed from among the clients of Israelian's institute. The experimental groups applied the new method for six months, leading to a significant shift in the response of the clients involved. Expressed anxiety and defensive responses to mental tasks were transformed into orienting responses after 30 psycho-regulative exercises. Cognitive functions such as attention and memory also improved significantly. EEG examinations of the actual process of psycho-regulation revealed a tendency towards a change of brain activity by increasing the fast pulse frequency values in the alpha zones. Israelian concludes that the application of the MRPC creates better functional conditions for the socialisation of mentally handicapped people.

Houston police officer attitudes towards the mentally ill: CIT trained and non-CIT trained

The purpose of this study was to develop a better understanding of police officer attitudes towards the mentally ill and what impact that might have on their behavior. Focused on the effects of Crisis Intervention Team (CIT) training on Houston police officers, this research wanted to determine if CIT training decreases attitudes of authoritarianism and increases attitudes of self-efficacy in dealing with the mentally ill—other factors assessed were age, years of service, ethnicity, and gender. Results confirmed that CIT training had an effect on an officer's attitudes with CIT officers being less authoritarian and having more self-efficacy with respect to dealing with the mentally ill as compared to non-CIT officers. Because of these results, this study could offer support in tailoring training programs to have successful officer-mentally ill person interactions. ^