On solvability of one class of nonlinear integral equations on whole line with a weak singularity at zero |
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Authors: | Khachatur A Khachatryan |
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Institution: | 1.Institute of Mathematics,National Academy of Sciences of Armenia,Armenia,Armenia |
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Abstract: | 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. |
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