On weak non-linearity of models of physical systems
Applications of Mathematics, Tome 22 (1977) no. 4, pp. 301-310.

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The introduction of the concept of weak non-linearity is motivated by the effort to determine a certain class of non-linear systems whose properties important in technical appliations coincide with those of asymptotically stable linear systems. A model of the phzsical system described by Eq. (1) is called weakly non-linear (quasilinear) if any two solutions $x_1(t), x_2(t)$ of Eq. (1) sarisfy Eq. (2). A model described by Eq. (1) is weakly non-linear if there exists a way of expressing the right-hand side $f(x,t)$ of this equation in the form (3) so that the inequality (8) is satisfied.
DOI : 10.21136/AM.1977.103705
Classification : 34A99, 34D20 
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Mayer, Daniel; Ryjáček, Zdeněk. On weak non-linearity of models of physical systems. Applications of Mathematics, Tome 22 (1977) no. 4, pp. 301-310. doi : 10.21136/AM.1977.103705. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103705/

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