A class of partial integro-differential equations with correlation-convolution integral. II (Q1884383)
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scientific article; zbMATH DE number 2112823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of partial integro-differential equations with correlation-convolution integral. II |
scientific article; zbMATH DE number 2112823 |
Statements
A class of partial integro-differential equations with correlation-convolution integral. II (English)
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1 November 2004
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This paper concerns three classes of nonlinear integral equations and first-order integro-dif\-fer\-en\-tial equations in two variables and dealt width where the quadratic nonlinearity is given by the correlation-convolution integral. The paper continues the first part presented in a previous paper [ibid. 23, No. 1, 3--15 (2004; Zbl 1060.45009)]. In the case of the quarter plane the equations are reduced to boundary value problems for holomorphic functions which can be solved in closed form. The existence and constructive formulas for the solutions to the equations are derived.
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nonlinear integral equations
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nonlinear partial integro-differential equation
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correlation-convolution integral
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boundary value problem for holomorphic function
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