Systems of coupled clamped beams equations with full nonlinear terms: Existence and location results

This work gives sufficient conditions for the solvability of the fourth order coupled system┊ u⁽⁴⁾(t)=f(t,u(t),u′(t),u′′(t),u′′′(t),v(t),v′(t),v′′(t),v′′′(t)) v⁽⁴⁾(t)=h(t,u(t),u′(t),u′′(t),u′′′(t),v(t),v′(t),v′′(t),v′′′(t)) with f,h: [0,1]×ℝ⁸→ℝ some L¹- Carathéodory functions, and the boundary conditions {┊ u(0)=u′(0)=u′′(0)=u′′(1)=0 v(0)=v′(0)=v′′(0)=v′′(1)=0. To the best of our knowledge, it is the first time in the literature where two beam equations are considered with full nonlinearities, that is, with dependence on all derivatives of u and v. An application to the study of the bending of two elastic coupled campled beams is considered.

Determinantes da estrutura de capitais do sector bancário português

Este estudo tem como objectivo analisar quais os factores que determinam a estrutura de capitais do sector bancário Português. Com o intuito de atingir o objectivo e assumindo a existência de uma estrutura óptima de capitais, recorrer-se-á ao modelo de regressão linear múltipla para verificar a aderência do processo de decisão às teorias acerca da estrutura de capitais, bem como quais dos factores analisados a afectarão significativamente. Os resultados obtidos sugerem que a rendibilidade, a dimensão, o risco e a tangibilidade são os principais determinantes da estrutura de capitais do sector bancário português. ABSTRACT: The main aim for this study is to verify which determinants influence the Portuguese bank's capital structure. ln order to achieve the above mentioned aim and assuming an optimal capital structure, we will apply a multiple linear regression model with the purpose of proving the capital structure theories existence and to observe which determinants influence it. The obtained results mention that profitability, size, risk and tangibility are the principal determinants of Portuguese bank's capital structure.

Unbounded solutions for functional problems on the half-line

This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green's functions and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.

Unbounded solutions for functional problems on the half-line

This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green's functions and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.