Existence Theorems for Equations with Noncoercive Discontinuous Operators

• Дата: 2002
• Автори: Vinokur, V. V., Pavlenko, V. N., Винокур, В. В., Павленко, В. Н.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2002
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4071
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In a Hilbert space, we consider equations with a coercive operator equal to the sum of a linear Fredholm operator of index zero and a compact operator (generally speaking, discontinuous). By using regularization and the theory of topological degree, we establish the existence of solutions that are c...