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DOE OSTI · 22773679

Nonlinear Integral Equations with Potential-Type Kernels on a Segment

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Abstract

We study various classes of nonlinear equations containing operators of potential type (Riesz potential). By the method of monotone operators in the Lebesgue spaces of real-valued functions L{sub p}(a, b) we prove global theorems on the existence, uniqueness, estimates, and methods of construction of their solutions. We present applications that illustrate the results obtained.

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97 MATHEMATICS AND COMPUTINGFUNCTIONSINTEGRAL EQUATIONSKERNELSMATHEMATICAL OPERATORSMATHEMATICAL SOLUTIONSMATHEMATICAL SPACENONLINEAR PROBLEMS

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2018-12-15. Nonlinear Integral Equations with Potential-Type Kernels on a Segment. https://doi.org/10.1007/s10958-018-4079-3

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