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WEIGHTED SPACE METHOD FOR THE STABILITY OF SOME NONLINEAR EQUATIONSKeywords: Generalized Hyers-Ulam-Rassias stability , Nonlinear functional equations , Volterra integral equation , Weighted space method Abstract: We prove the stability of some equations of a single variable, including a nonlinear functional equation, a linear functional equation as well as a Volterra integral equation, by using the weighted space method. Our results generalize and extend some recent theorems given in this field, with simplified proofs. Several direct applications of these results are also obtained.
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