具有单调非线性的卷积型方程的周期解

IF 0.5 Q3 MATHEMATICS Ufa Mathematical Journal Pub Date : 2016-01-01 DOI:10.13108/2016-8-1-20
S. Askhabov
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引用次数: 1

摘要

利用单调算子的方法,建立了2π周期函数Lp(−π, π)在实空间上的各种非线性卷积型积分方程的整体存在唯一性定理,以及估计和求解的方法。
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Periodic solutions of convolution type equations with monotone nonlinearity
By the method of monotone operators we establish theorems on global existence and uniqueness, as well as estimats and methods of finding the solutions for various classes of nonlinear convolution type integral equations in the real space of 2πperiodic functions Lp(−π, π).
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