On solvability of one class of nonlinear integral equations on whole line with a weak singularity at zero

被引：2

作者：

Khachatryan K.A. ^{[1
]}

机构：

[1] Institute of Mathematics, National Academy of Sciences of Armenia, Armenia

来源：

p-Adic Numbers, Ultrametric Analysis and Applications | 2017年 / 9卷 / 4期

关键词：

continuity; limit of solution; monotony; point-wise convergence; successive approximation;

D O I：

10.1134/S2070046617040045

中图分类号：

学科分类号：

摘要：

In present work we investigate one class of nonlinear integral equations with singularity at zero and boundary value conditions at ±∞. Above mentioned class of equations has direct applications in string theory and in the case of concrete structure of the kernel it describes the dynamics of the open-closed p-adic string for the scalar tachyon field. We prove the existence of nontrivial solution in a certain weight class of functions.With an additional restriction on the kernel the uniqueness of the obtained solution is proved. © 2017, Pleiades Publishing, Ltd.

引用

页码：292 / 305

页数：13

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