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On Volterra-Fredholm integral equation in two variables

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The aim of this paper is to study thexistence, uniqueness and other properties of solution of a certain Volterra-Fredholm integral equation in two independent variables. The main tools employed in the analysis are based on the applications of the well known Banach fixed point theorem and the new integral inequality with explicit estimate.
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839--852
Opis fizyczny
Bibliogr. 20 poz.
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Bibliografia
  • [1] S. Aširov and Ja. D. Mamedov, Investigation of solutions of nonlinear Volterra-Fredholm operator equations, Dokl. Akad. Nauk. SSSR 229 (1976), 982-986.
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  • [11] R. K. Miller, Nonlinear Volterra Integral Equations, W.A. Benjamin, Menlo Park CA, 1971.
  • [12] R. K. Miller, J. A. Nohel and J. S. W. Wong, A stability theorem for nonlinear mixed integral equations, J. Math. Anal. Appl. 25 (1969), 446-449.
  • [13] J. A. Nohel, Asymptotic relationships between systems of Volterra equations, Ann. Mat. Pura Appl. XC (1971), 149-165.
  • [14] B. G. Pachpatte, On some applications of Ważewski method for raultiple Volterra integral equations, An. Sti. Univ. Al. I. Guza Iaşi 29 (1983), 75-83.
  • [15] B. G. Pachpatte, On a nonlinear functional integral equation in two independent variables, An. Sti. Univ. Al. I. Guza Iaşi 30 (1984), 31-38.
  • [16] B. G. Pachpatte, Inequalities for Differential and Integral Equations, Academic Press, New York, 1998.
  • [17] B. G. Pachpatte Integral and Finite Difference Inequalities and Applications, North-Holland Mathematics Studies Vol. 205, Elsevier Science, B.V. 2006.
  • [18] M. B. Suryanarayana, On multidimensional integral equations of Volterra type Pacific J.Math. 41 (1972), 809-828.
  • [19] W. Walter, On nonlinear Volterra integral equations in several variables J. Math. Mech. 16 (1967), 967-985.
  • [20] W. Walter, Differential and Integral Inequalities, Springer-Verlag, Berlin, New York 1970.
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Bibliografia
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bwmeta1.element.baztech-article-PWA5-0022-0010
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