PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Integrable solutions for quadratic Hammerstein and quadratic Urysohn functional integral equations

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [3], [6], [7] and [9]. Here We are concerning with the existence of L1 positive monotonic solutions for the quadratic Hammerstein and quadratic Urysohn functional integral equations.
Rocznik
Strony
199--207
Opis fizyczny
bibliogr. 12 poz.
Twórcy
Bibliografia
  • [1] J. Apell and E. De Pascale,Su. alcuni parameteri connesi con la misuradi non compacttezza di Hausdorff in spazi di functioni misurablili, Boll. Union Mat. Ital. vol.6 no.3 (1984), 497-515.
  • [2] J. Banas, On the superposition operator and integrable solutions of some functional equations, Nonlin. Analysis T.M.A. Vol. 12 (1988), 777-784.
  • [3] J. Banas , M.J. Rocha and K. Sadarangani, On the solution of a quadratic integral equation of Hammerstein type, Mathematical and Computer Modelling. vol.43 (2006), 97-104.
  • [4] F.S. De Blasi, On a property of the unit sphere in Banach spaces, Math. Soc. Sci. Math. R.S.Roum. vol.21, no.3-4 (1977), 259-262.
  • [5] J. Banas, Integrable solutions of Hammerstein ad Urysoh integral equations, J. Austral. Math. Soc. (Series A)46 (1986),61-68.
  • [6] J. Banas and A. Martininon, Monotonic solutions of a quaderatic integral equation of Volterra type, Comput. Math. Appl. 47 (2004), 271 - 279.
  • [7] J. Banas, M. Lecko, W.G. El-Sayed, Existence theorems of some quaderatic integral equation, J.Math. Anal. Appl. 227 (1998), 276 - 279.
  • [8] J. Banas and K. Goebel, Measure of noncompactness in Banach space, Lecture Note in Pure and Appl. Math. vol. 60, Dekker, New York, 1980.
  • [9] J. Banas and B. Rzepka , Monotonic solutions of a quaderatic integral equations of fractional order, J.Math. Anal. Appl. 332 (2007), 1370 -11378.
  • [10] R. F. Curtain and A.J. Pritchard, Functional Analysis in Modern Applied Mathematics, Academic Press, 1977.
  • [11] K. Deimling, Nonlinear Functional Analysis, Springer - Verlag, Berlin, 1985.
  • [12] M.A. Krasnosel'skii, P.P. Zabrejko, J.I. Pustyl'ik and P.J. Sobolevskii, Integral operatorsi spaces of summable functions, Nauka, Moscow,1966 [English Transformation: Noordhoff, Leyden, 1976].
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0019-0034
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.