In a work entitled Our Knowledge of the External World (1914), Russell analyzed the concept of physical objects as comprising classes of (perceptual) aspects or perspectives, an idea that later stimulated the work of Rudolf Carnap, an outstanding philosophical semanticist and analyst, entitled Der logische Aufbau der Welt (1928; The Logical Structure of the World).
Stimulated by the work of Chen, Xie, and Wang [6], we propose a discrete competition model of plankton allelopathy with infinite deviating arguments.
We were also stimulated by the work of Jean Mawhin in [7], where degree arguments were applied to the Dirichlet problem in a Hilbert space probably for the first time, and in [14], where a bound sets approach was systematically developed.
Stimulated by the work of Yue [1], in this paper, a two species non-autonomous competitive system with nonlinear inter-inhibition terms and one toxin producing phytoplankton is proposed and studied.
Especially, stimulated by the work of Ait Dads, Cieutat, and Lhachimi [5], the authors in [8] investigated the existence of positive pseudo almost periodic solution for the following more general neutral integral equation: x t)=alpha(t) x t-beta)+ int^{t}_{-infty}a(t,t-s)fbigl(s,x t-beta),ds,quad tin mathbb{R}.
Especially, stimulated by the work of Bosede and Rhoades [28], Akewe and Okeke [27] obtained stability results for the Picard-Mann hybrid iterative scheme due to Khan [18] for a general class of contractive-like operators introduced by Bosede and Rhoades [28].
Interest in neovascularity as a prognostic factor was stimulated by the work of Judah Folkman on tumor angiogenesis and by the potential for treatment with anti-angiogenic agents [ 56].
In doing so we need to ensure that policies and legislation are set in place to - amongst other things - provide guidance on fostering and adoption, to protect the property and inheritance rights of women and children, and to stimulate and support the work of religious and non-governmental organisations in building family and community based responses.
By elucidating the roles played by female reproductive tract secretions, and demonstrating that they include a signal to the ovary that stimulates ovulation, the work of Sun and Spradling may lead to an increased understanding of ovarian cancer in humans.
Stimulated by the works of Xiong et al. [1] and Chen et al. [14 19], in this paper, we propose the nonlinear amensalism model (1.3).
