2018
Том 70
№ 6

Theorem on the existence of an invariant section over $\mathbb{R}^m$ for the indefinite monotone system in $\mathbb{R}^m \times \mathbb{R}^n$

Abstract

We consider a nonlinear system on the direct product $\mathbb{R}^m \times \mathbb{R}^n$. For this system, under the conditions of indefinite coercivity and indefinite monotonicity, we establish the existence of a bounded Lipschitzian invariant section over $\mathbb{R}^m$.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 1, pp 114-131.

Citation Example: Lagoda V. A., Parasyuk I. O. Theorem on the existence of an invariant section over $\mathbb{R}^m$ for the indefinite monotone system in $\mathbb{R}^m \times \mathbb{R}^n$ // Ukr. Mat. Zh. - 2013. - 65, № 1. - pp. 103-118.

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