Search results for "INTEGRAL"

Existence of a traveling wave solution in a free interface problem with fractional order kinetics

2021

Abstract In this paper we consider a system of two reaction-diffusion equations that models diffusional-thermal combustion with stepwise ignition-temperature kinetics and fractional reaction order 0 α 1 . We turn the free interface problem into a scalar free boundary problem coupled with an integral equation. The main intermediary step is to reduce the scalar problem to the study of a non-Lipschitz vector field in dimension 2. The latter is treated by qualitative topological methods based on the Poincare-Bendixson Theorem. The phase portrait is determined and the existence of a stable manifold at the origin is proved. A significant result is that the settling time to reach the origin is fin…

Effetti del raggio di raccordo al fondo foro nella analisi delle tensioni residue con il metodo della rosetta forata

2007

Il metodo della rosetta forata è una delle tecniche di analisi delle tensioni residue più utilizzati in campo industriale. Il metodo è abbastanza accurato per tensioni costanti, mentre nel caso di tensioni variabili nello spessore del componente esaminato diverse cause di incertezza devono essere attentamente esaminate. Poiché nella valutazione numerica dei coefficienti di influenza il foro è considerato perfettamente cilindrico e privo di raccordo, una sorgente di errore è costituita dal raggio di raccordo al fondo foro. In questa memoria viene studiato l’effetto che il raggio di raccordo ha sulle deformazioni misurate e sulle tensioni calcolate. E’ cosi mostrato come anche piccoli raggi d…

GIUSTA RETRIBUZIONE E CONTRATTO COLLETTIVO

2013

Commentando la pronuncia esaminata l’Autore sottolinea che la questione della qualificazione del rapporto, da sempre risolta in base ai tradizionali principi dell'onere della prova e degli indici rivelatori della subordinazione, si indirizza verso nuovi orizzonti alla luce delle modifiche apportate con la legge n. 92 del 2012, che introduce una presunzione di non autonomia della prestazione lavorativa in assenza dei requisiti espressamente indicati nel testo legislativo. Il riconoscimento della natura subordinata del rapporto pone l'ulteriore problema dell'applicazione, parziale o integrale, del contratto collettivo che, anche alla luce della predetta riforma, sembra assurgere al rango di f…

Sanningens smärta

2009

An Henstock-Kurzweil type integral on a meausure metric space

2014

We consider an Henstock-Kurzweil type integral defined on a complete measure metric space $X=(X, d)$ endowed with a Radon measure $\mu$ and with a family $\F$ of ``intervals" that satisfies, besides usual conditions, the Vitali covering theorem. In particular, for such integral, we obtain extensions of the descriptive characterization of the classical Henstock-Kurzweil integral on the real line, in terms of $ACG_*$ functions and in terms of variational measures. Moreover we show that, besides the usual Henstock-Kurzweil integral on the real line, such integral includes also the dyadic Henstock-Kurzweil integral, the $GP$-integral and the $s$-HK integral. For this last integral we prove a be…

Comparison of the P-integral with Burkill's integrals and some applications to trigonometric series

2023

It is proved that the $P_r$-integral [9] which recovers a function from its derivative defined in the space $L^r$, 1 ≤r<∞, is properly included in Burkill’s trigonometric CP-and SCP-integrals. As an application to harmonic analysis, a de La Vallée-Poussin-type theorem for the $P_r$-integral is obtained: convergence nearly everywhere of a trigonometric series to a $P_r$-integrable function f implies that this series is the Pr-Fourier series of f.

A generalized first-return integration process

2020

We extend the first-return integration process, introduced in [5] by U.B. Darji and M.J. Evans, and prove that each Lebesgue-improper integrable function f : [a, b] --> R is first-return integrable in this generalized sense to (Li)int_a^b f(t) dt.

Remarks on the first return integral

2007

Some pathological properties of the first-return integrals are explored. In particular it is proved that there exist Riemann improper integrable functions which are first-return recoverable almost everywhere, but not first-return integrable, with respect to each trajectory. It is also proved that the usual convergence theorems fail to be true for the first-return integrals.

Fixed point results for weak contractive mappings in ordered K-metric spaces

2012

In this paper, we derive new coincidence and common fixed point theorems for self-maps satisfying a weak contractive condition in an ordered K-metric space. As application, the obtained results are used to prove an existence theorem of solutions of a nonlinear integral equation.

Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms

2009

Abstract Denjoy and P-path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are applied to obtain an inversion formula for the multiplicative integral transform.