Some problems of nonlinear integral equations in measure spaces
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- by R. R. Sharma PDF
- Proc. Amer. Math. Soc. 51 (1975), 313-321 Request permission
Abstract:
An existence theorem is proved by the method of successive approximations for abstract nonlinear integral equations formulated in [1]. Some integral inequalities and extremal solutions are also considered.References
- P. C. Das, Nonlinear integral equations in a measure space, Proc. Amer. Math. Soc. 42 (1974), 181–185. MR 326324, DOI 10.1090/S0002-9939-1974-0326324-9
- R. R. Sharma, An abstract measure differential equation, Proc. Amer. Math. Soc. 32 (1972), 503–510. MR 291600, DOI 10.1090/S0002-9939-1972-0291600-3
- R. R. Sharma, Existence of solutions of abstract measure differential equations, Proc. Amer. Math. Soc. 35 (1972), 129–136. MR 304811, DOI 10.1090/S0002-9939-1972-0304811-5
- R. R. Sharma, A measure differential inequality with applications, Proc. Amer. Math. Soc. 48 (1975), 87–97. MR 364802, DOI 10.1090/S0002-9939-1975-0364802-8
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 313-321
- MSC: Primary 45G99
- DOI: https://doi.org/10.1090/S0002-9939-1975-0372560-6
- MathSciNet review: 0372560