EuDML | Browse

We deal with the integral equation $u (t) = f (\int_{I} g (t, z) u (z) d z)$ , with $t \in I = [0, 1]$ , $f : 𝐑^{n} \to 𝐑^{n}$ and $g : I \times I \to [0, + \infty [$ . We prove an existence theorem for solutions $u \in L^{\infty} (I, 𝐑^{n})$ where the function $f$ is not assumed to be continuous, extending a result previously obtained for the case $n = 1$ .

Weakly sequentially continuous maps and existence principles for elliptic equations

R. P. Agarwal, Donal O'Regan (2003)

Applicationes Mathematicae

We present a Furi-Pera type theorem for weakly sequentially continuous maps. As an application we establish new existence principles for elliptic Dirichlet problems.

Wehrl entropy of the state in a two-atom Tavis-Cummings model

Debraj Nath, P. K. Das (2011)

Banach Center Publications

In this paper we present an entropic description of quantum state obtained by interaction of one mode of quantized electromagnetic field with two two-level atoms inside a cavity, known as Tavis-Cumming model. Wehrl entropy has been calculated analytically and investigated as a function of the average value of the photon number operator. Husimi's Q function has been calculated and compared with the behaviour of the field entropy.

Weighted fractional differential equations with infinite delay in Banach spaces

Qixiang Dong, Can Liu, Zhenbin Fan (2016)

Open Mathematics

This paper is devoted to the study of fractional differential equations with Riemann-Liouville fractional derivatives and infinite delay in Banach spaces. The weighted delay is developed to deal with the case of non-zero initial value, which leads to the unboundedness of the solutions. Existence and uniqueness results are obtained based on the theory of measure of non-compactness, Schaude’s and Banach’s fixed point theorems. As auxiliary results, a fractional Gronwall type inequality is proved,...

$φ$ -Laplacian BVPs with linear bounded operator conditions

Kamal Bachouche, Smaïl Djebali, Toufik Moussaoui (2012)

Archivum Mathematicum

The aim of this paper is to present new existence results for $φ$ -Laplacian boundary value problems with linear bounded operator conditions. Existence theorems are obtained using the Schauder and the Krasnosel’skii fixed point theorems. Some examples illustrate the results obtained and applications to multi-point boundary value problems are provided.

Currently displaying 761 – 780 of 780

Previous Page 39

Displaying 761 – 780 of 780

Une suite exacte en $L^{2}$ -cohomologie

Upper and lower solutions method and a fractional differential equation boundary value problem.

Upper and lower solutions method for a class of singular fractional boundary value problems with $p$ -Laplacian operator.

Variant of Lax--Milgram lemma for Banach spaces.

Variational oscillation criteria for nonlinear nonhomogeneous differential equations.

Variational sum of monotone operators.

Vector integral equations with discontinuous right-hand side

Weakly sequentially continuous maps and existence principles for elliptic equations

Wehrl entropy of the state in a two-atom Tavis-Cummings model

Weighted fractional differential equations with infinite delay in Banach spaces

$φ$ -Laplacian BVPs with linear bounded operator conditions

Аналитические полугруппы с ядрами и линейные уравнения типа Соболева.

Гармонический анализ в многосвязной области I

Гармонический анализ в многосвязной области II

Квантовое рассеяние в калибровочных полях адиабатических представлений

О дискретном спектре заданной $S O (2)$ -симметрии многочастичных систем в потенциальном и однородном магнитном полях

О некоторых задачах оптимального восстановления аналитических и гармонических функций по неточным данным

Построение гауссовых пучков с экспоненциально малой невязкой

Собственные колебания механических систем и спектральная теория самосопряженных операторов

Эффективные фермионные модели в окрестности критической точки

Currently displaying 761 – 780 of 780