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

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Ukrainian Mathematical Journal Aims and scope

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 Lipschitz invariant section over \( {{\mathbb{R}}^m} \).

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 1, pp. 103–118, January, 2013.

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Lahoda, 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 Math J 65, 114–131 (2013). https://doi.org/10.1007/s11253-013-0768-8

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  • DOI: https://doi.org/10.1007/s11253-013-0768-8

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