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Titlebook: Asymptotics of Nonlinearities and Operator Equations; Alexander M. Krasnosel’skii Book 1995 Birkhäuser Verlag 1995 Boundary value problem.

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Two-sided estimates for nonlinearities,We consider the space .=.(.,ℝ. of all square-integrable functions .(.):.→ℝ.. Recall that the norm and the inner product on ℝ. are denoted by ❘·❘ and (·,·), respectively. In thir turn, the norm and the inner product on . is defined by the usual equality
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Weak nonlinearities,The present chapter is concerned with the study of non-linear equation . in various spaces of scalar-valued functions .(.). We will assume that the function .(.) : . × ℝ. → ℝ . has the form . where the proper nonlinearity — the function φ(.) — is locally bounded in ., i.e., . for any nonnegative ., and, in addition,
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Asymptotics of Nonlinearities and Operator Equations978-3-0348-9082-3Series ISSN 0255-0156 Series E-ISSN 2296-4878
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