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Higher-Order Functional Discontinuous Boundary Value Problems on the Half-Line
Mathematics ( IF 2.4 ) Pub Date : 2021-03-01 , DOI: 10.3390/math9050499
Feliz Minhós , Infeliz Coxe

In this paper, we consider a discontinuous, fully nonlinear, higher-order equation on the half-line, together with functional boundary conditions, given by general continuous functions with dependence on the several derivatives and asymptotic information on the (n1)th derivative of the unknown function. These functional conditions generalize the usual boundary data and allow other types of global assumptions on the unknown function and its derivatives, such as nonlocal, integro-differential, infinite multipoint, with maximum or minimum arguments, among others. Considering the half-line as the domain carries on a lack of compactness, which is overcome with the definition of a space of weighted functions and norms, and the equiconvergence at . In the last section, an example illustrates the applicability of our main result.

中文翻译:

半线上的高阶泛函不连续边值问题

在本文中,我们考虑了半线上的一个不连续,完全非线性的高阶方程,以及一个函数边界条件,该函数边界条件由一般连续函数给出,并依赖于该函数的几个导数和渐近信息。ñ-1个ŤH未知函数的导数。这些功能条件会概括通常的边界数据,并允许对未知函数及其派生词进行其他类型的全局假设,例如非局部,整数微分,无限多点,最大或最小自变量等。将半线视为域缺乏紧凑性,可以通过定义加权函数和范数的空间以及处的等收敛性来克服这种紧凑性。在最后一部分中,一个示例说明了我们主要结果的适用性。
更新日期:2021-03-01
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