On a class of nonlinear problems and related special properties of linear operators

Krasnoselskii M.; Lusnikov A.

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On a class of nonlinear problems and related special properties of linear operators

机译：关于一类非线性问题和线性算子的相关特殊性质

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We consider equations and discret time dynamical systems with discontinuous nonlinear operators. The aim is to find solutions of equations and steady states of dynamical systems, which possess some additional important properties. Some applications are indicated. For some particular problems such an investigation was started by A. Pokrovskii and the first author in 1973-78. General results below have been obtained by the authors in 1993-95.

机译：我们考虑具有不连续非线性算子的方程和离散时间动力系统。目的是找到具有一些其他重要性质的动力学系统方程和稳态解。指出了一些应用。对于某些特殊问题，A。Pokrovskii和第一作者于1973-78年开始了这样的调查。作者在1993-95年获得了以下一般结果。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1996年第s2期|p.221-224|共4页
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Krasnoselskii M.; Lusnikov A.;
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正文语种 eng
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1. ON A CLASS OF NONLINEAR PROBLEMS AND RELATED SPECIAL PROPERTIES OF LINEAR OPERATORS [J] . Krasnoselskii M., Lusnikov A. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s2期

机译：一类线性算子的非线性问题及其特殊性质
2. GOOD AND SPECIAL WEAKLY PICARD OPERATORS PROPERTIES FOR A CLASS OF DISCRETE LINEAR OPERATORS [J] . LOREDANA-FLORENTINA IAMBOR, ADRIANA C?TA? Journal of computational analysis and applications . 2020,第5期

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3. Monotonicity properties in Banach spaces via sublinear operators and corrigendum to “Rotundity properties in Banach spaces via sublinear operators, Nonlinear Analysis 64 (2006) 1171–1188” [J] . Henryk Hudzik, Karol Wlazlak Nonlinear Analysis: An International Multidisciplinary Journal . 2007,第7期

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4. Symbolic Algorithms for the Painleve Test, Special Solutions, and Recursion Operators for Nonlinear PDEs. [C] . D. Baldwin, W. Hereman, J. Sayers Workshop on Group Theory and Numerical Analysis . 2005

机译：非线性PDE的痛苦试验，特殊解决方案和递归算子的符号算法。
5. NONLINEAR OPERATORS AND MULTILINEAR CONVOLUTIONS COMMUTING WITH DILATIONS [D] . MURRAY, MARGARET ANNE MARIE 1983

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6. NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE [O] . Felix E. Browder 2011

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7. Properties of the Frechet derivative of the operator of the geometrically nonlinear problem of bending of a three-layer plate and statement of a nonlinear spectral problem [O] . I.B. Badriev, V.Yu. Buyanov, M.V. Makarov 2019

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8. ON CLASSIFICATION AND SUPERPOSITION PRINCIPLES FOR NONLINEAR OPERATORS [R] . Alfred Inselberg 1965

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On a class of nonlinear problems and related special properties of linear operators

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