On a Class of Nonlinear Singular Integral Equations
Copyright policy )On a Class of Nonlinear Singular Integral Equations
The present communication is a continuation of a previous paper by the author [ibid. 63, 249-259 (1983; Zbl 0525.45004)]. In that paper, the author has applied methods of monotone operator theory to some classes of nonlinear singular integral and integro-differential equations of Cauchy type. In this note, the previous results are complemented by two additional existence theorems for a class of such integral equations with sublinear free term. The present note also contains corrections to the conditions for certain parameters appearing in the above mentioned previous paper of the author.
Integro-ordinary differential equations, monotone operator methods, Equations involving nonlinear operators (general), sublinear free term, Singular nonlinear integral equations, existence theorems, Cauchy type equations, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
Integro-ordinary differential equations, monotone operator methods, Equations involving nonlinear operators (general), sublinear free term, Singular nonlinear integral equations, existence theorems, Cauchy type equations, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
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