Abstract and keywords
Abstract (English):
The convergence of Tonelli's method for solving the Cauchy problem for an abstract semilinear parabolic equation is analyzed. The error estimates of the method are provided.

Keywords:
Banach space, linear operator, Cauchy problem, Tonelli's method
References

1. Filippov L.F. Differencial'nye uravneniya s razryvnoy pravoy chast'yu. – M.: Nauka, 2020. – 224 s.

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