The exact solution of a class of Volterra integral equation with weakly singular kernel

2011 ◽  
Vol 217 (18) ◽  
pp. 7515-7519 ◽  
Author(s):  
Zhong Chen ◽  
Wei Jiang
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Volterra Integral Equation ◽  
Singular Kernel ◽  
Weakly Singular Kernel ◽  
Weakly Singular

scholarly journals Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel

2005 ◽  
Vol 77 (91) ◽  
pp. 87-92 ◽  
Author(s):  
Aldona Dutkiewicz ◽  
Stanislaw Szufla
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Weak Solutions ◽  
Singular Kernel ◽  
Weakly Singular Kernel ◽  
Weakly Singular ◽  
Nonempty Compact

We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected.

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