System of Volterra Integral Equations: Constant-Sign Solutions in Orlicz Spaces

2013 ◽  
pp. 505-537
Author(s):  
Ravi P. Agarwal ◽  
Donal O’Regan ◽  
Patricia J. Y. Wong
Keyword(s):  
Integral Equations ◽  
Orlicz Spaces ◽  
Volterra Integral Equations ◽  
Constant Sign ◽  
Constant Sign Solutions

scholarly journals Constant-sign solutions of a system of Volterra integral equations

2007 ◽  
Vol 54 (1) ◽  
pp. 58-75 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O’Regan ◽  
Christopher C. Tisdell ◽  
Patricia J.Y. Wong
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Constant Sign ◽  
Constant Sign Solutions

Constant-Sign Solutions of a System of Fredholm Integral Equations

2004 ◽  
Vol 80 (1) ◽  
pp. 57-94 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O'Regan ◽  
Patricia J. Y. Wong
Keyword(s):  
Integral Equations ◽  
Fredholm Integral Equations ◽  
Constant Sign ◽  
Constant Sign Solutions

NONLINEAR VOLTERRA INTEGRAL EQUATIONS IN ORLICZ SPACES

1984 ◽  
Vol 17 (2) ◽  
Author(s):  
Ryszard Ptuciennik ◽  
Stanisiaw Szufla
Keyword(s):  
Integral Equations ◽  
Orlicz Spaces ◽  
Volterra Integral Equations

scholarly journals Constant Sign Solutions to Linear Fractional Integral Problems and Their Applications to the Monotone Method

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 156 ◽  
Author(s):  
Daniel Cao Labora ◽  
Rosana Rodríguez-López
Keyword(s):  
Integral Equations ◽  
Fractional Integral ◽  
Existence Of Solutions ◽  
Nonlinear Problems ◽  
Constant Sign ◽  
Monotone Method ◽  
Iterative Techniques ◽  
Monotone Iterative ◽  
Constant Sign Solutions ◽  
Constant Coefficients

This manuscript provides some results concerning the sign of solutions for linear fractional integral equations with constant coefficients. This information is later used to prove the existence of solutions to some nonlinear problems, together with underestimates and overestimates. These results are obtained after applying suitable modifications in the classical process of monotone iterative techniques. Finally, we provide an example where we prove the existence of solutions, and we compute some estimates.

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