scholarly journals A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel

2010 ◽  
Vol 234 (9) ◽  
pp. 2859-2869 ◽  
Author(s):  
Magda Rebelo ◽  
Teresa Diogo
Keyword(s):  
Integral Equation ◽  
Collocation Method ◽  
Volterra Integral Equation ◽  
Singular Kernel ◽  
Weakly Singular Kernel ◽  
Nonlinear Volterra Integral Equation ◽  
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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