Logarithmic norms are often used to estimate stability and perturbation bounds in linear ODEs. Extensions to other classes of problems such as nonlinear dynamics, DAEs and PDEs require careful modifications of the logarithmic norm. With a conceptual focus, we combine the extension to nonlinear ODEs [15] with that of matrix pencils [10] in order to treat nonlinear DAEs with a view to cover certa...

Certain discrete-time Markov processes on locally compact metric spaces which arise from graphdirected constructions of fractal sets with place-dependent probabilities are studied. Such systems naturally extend finite Markov chains and inherit some of their properties. It is shown that the Markov operator defined by such a system has a unique invariant probability measure in the irreducible cas...

Penelitian ini berjudul “Persepsi Masyarakat dan Hukun Terhadap Pernikahan Dini di Desa Semutai Kecamatan Mukok Kabupaten Sanggau’’. Fokus penelitian ingin mengkaji secara intens mengenai Persepsi Dini. Selanjutnya merumuskan beberapa sub masalah sebagai berikut: 1) Bagaimana persepsi masyarakat terhadap pernikahan dini? 2) hukum dini?Tujuan umum yang dicapai dalam adalah untuk mengetahui tenta...

In this paper we characterise, in terms of the upper Dini derivative, when the Clarke subdiierential mapping of a real-valued locally Lipschitz function is a minimal weak cusco. We then use this characterisation to deduce some new results concerning Lips-chitz functions with minimal subdiierential mappings. In the papers 7] and 1], the authors investigate a class of locally Lipschitz functions ...