Bounded Solutions of Almost Linear Volterra Equations

  title={Bounded Solutions of Almost Linear Volterra Equations},
  author={M. N. Islam and Youssef N. Raffoul},
Fixed point theorem of Krasnosel’skii is used as the primary mathematical tool to study the boundedness of solutions of certain Volterra type equations. These equations are studied under a set of assumptions on the functions involved in the equations. The equations will be called almost linear when these assumptions hold. AMS Subject Classifications: 45D05, 45J05. 

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 10 references

Fixed Point Theorems

  • D. R. Smart
  • Cambridge University Press, London
  • 1980
Highly Influential
10 Excerpts

Krasnosel’skiı̆, Some problems in nonlinear analysis, Amer

  • M A.
  • Math. Soc. Transl., Ser. 2
  • 1958
Highly Influential
9 Excerpts

Bounded solutions and periodic solutions of almost linear Volterra equations, CUBO A

  • M. Islam, Y. Raffoul
  • Mathematical Journal,
  • 2009
1 Excerpt

Bounded solutions and periodic solutions of almost linear Volterra equations

  • Y. Raffoul
  • CUBO A Mathematical Journal
  • 2008

Krasnosel’skiĭ’s fixed point theorem for weakly continuous maps

  • C. S. Borosso
  • Nonlinear Anal. 55
  • 2003
1 Excerpt

Perturbations of Volterra integral equations

  • R. K. Miller, J. Nohel, J. Wong
  • J. Math. Anal. Appl., 25
  • 1969

Krasnosel ’ skiı̆ , Some problems in nonlinear analysis

  • A. M.
  • Amer . Math . Soc . Transl . , Ser .

Similar Papers

Loading similar papers…