Chapter-2 Existence and Uniqueness Theorems of Integral equations

2021 ◽  
pp. 25-61
Keyword(s):  
Integral Equations ◽  
Existence And Uniqueness ◽  
Uniqueness Theorems ◽  
Existence And Uniqueness Theorems

On a Dirichlet–Neumann–Third mixed boundary value problem for the Helmholtz equation

1983 ◽  
Vol 94 (3-4) ◽  
pp. 221-233 ◽  
Author(s):  
M. David
Keyword(s):  
Boundary Value Problem ◽  
Helmholtz Equation ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Uniqueness Theorems ◽  
Equivalent System ◽  
Mixed Boundary Value Problem ◽  
Existence And Uniqueness Theorems

SynopsisExistence and uniqueness theorems are proved for the solution of a Dirichlet-Neumann-Third mixed boundary value problem for the Helmholtz equation in ℝ3. The proofs make use of an equivalent system of two integral equations of the second kind.

scholarly journals Nonlinear stochastic functional integral equations in the plane

1995 ◽  
Vol 8 (4) ◽  
pp. 371-379 ◽  
Author(s):  
Jan Turo
Keyword(s):  
Global Existence ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Functional Integral ◽  
Successive Approximations ◽  
Uniqueness Theorems ◽  
Existence And Uniqueness Theorems ◽  
Global Existence And Uniqueness ◽  
Functional Integral Equations ◽  
Stochastic Functional

Local or global existence and uniqueness theorems for nonlinear stochastic functional integral equations are proved. The proofs are based on the successive approximations methods. The formulation includes retarded arguments and hereditary Volterra terms.

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