Czasopismo
2017
|
Vol 57, No. 2
|
143--151
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
We present an existence theorem for at least one weak solution to a coupled system of Volterra-Stieltjes integral equations in a reflexive Banach space.
Czasopismo
Rocznik
Tom
Strony
143--151
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
autor
- Faculty of Science, Alexandria University, Alexandria, Egypt, amasayed@alexu.edu.eg
autor
- Faculty of Science, Omar Al-Mukhtar University, Libya, najemeoe1234@gmail.com
Bibliografia
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- [2] J. Banaś, J. R. Rodriguez, and K. Sadarangani, On a class of Urysohn-Stieltjes quadratic integral equations and their applications, J. Comput. Appl. Math 113 (2000), 35-50, DOI 10.1016/S0377-0427(99)00242-3.
- [3] J. Banaś and J. Dronka, Integral operators of Volterra-Stieltjes type, their properties and applications, Math. Comput. Modelling 32 (2000), no. 11-13, 1321-1331, DOI 10.1016/S0895-7177(00)00207-7.
- [4] J. Banaś and K. Sadarangani, Solvability of Volterra-Stieltjes operator-integral equations and their applications, Comput Math. Appl 12 (2001), 1535-1544, DOI 10.1016/S0898-1221(01)00118-3.
- [5] J. Banaś and J. C. Mena, Some properties of nonlinear Volterra-Stieltjes integral operators, Comput Math. Appl 49 (2005), 1565-1573, DOI 10.1016/j.camwa.2004.05.016.
- [6] J. Banaś and D. O’Regan, Volterra-Stieltjes integral operators, Math. Comput. Modelling 41 (2005), 335-344, DOI 10.1016/j.mcm.2003.02.014.
- [7] C. W. Bitzer, Stieltjes-Volterra integral equations, Illinois J. Math 14 (1970), 434-451.
- [8] J. M. Ball, Weak continuity properties of mappings and semigroups, Proc. Royal. Soc. Edinbourgh Sect. A 72 (1973-1974), 275-280.
- [9] S. Chen, Q. Huang, and L. H. Erbe, Bounded and zero-convergent solutions of a class of Stieltjes integro-differential equations, Proc. Amer. Math. Soc 113 (1991), 999-1008, DOI 10.2307/2048775.
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- [12] A. M. A. EL-Sayed, W. G. El-Sayed, and A. A. H. Abd El-Mowla, Volterra-Stieltjes integral equation in reflexive Banach space, Electronic Journal of Mathematical Analysis and Applications 5 (2017), no. 1, 287-293.
- [13] A. M. A. EL-Sayed and H. H. G. Hashem, Weak maximal and minimal solutions for Hammerstein and Urysohn integral equations in reflexive Banach spaces, Differential Equation and Control Processes 4 (2008), 50-62.
- [14] A. M. A. El-Sayed and H. H. G. Hashem, Existence results for coupled systems of quadratic integral equations of fractional orders, Optimization Letters 7 (2013), 1251-1260.
- [15] A. M. A. El-Sayed and H. H. G. Hashem, Solvability of coupled systems of fractional order integro-differential equations, J. Indones. Math. Soc 19 (2013), no. 2,111-121, DOI 10.22342/jims.19.2.167111-121.
- [16] R. F. Geitz, Pettis integration, Proc. Amer. Math. Soc 82 (1981), 81-86, DOI 10.2307/2044321.
- [17] H. H. G. Hashem, On successive approximation method for coupled systems of Chandrasekhar quadratic integral equations, Journal of the Egyptian Mathematical Society 23 (2015), 108-112, DOI 10.1016/j.joems.2014.03.004.
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- [20] A. B. Mingarelli, Volterra-Stieltjes integral equations and generalized ordinary differential expressions, Lecture Notes in Math., vol. 989, Springer 1983.
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- [22] D. O’Regan, Fixed point theory for weakly sequentially continuous mapping, Math. Comput. Modeling 27, 1-14, DOI 10.1016/S0895-7177(98)00014-4.
- [23] D. O’Regan, Weak solutions of ordinary differential equations in Banach spaces, Appl. Math. Letters 12, 101-105, DOI 10.1016/S0893-9659(98)00133-5.
- [24] H. A. H. Salem, Quadratic integral equations in reflexive Banach spaces, Discuss. Math. Differ. Incl. Control Optim 30 (2010), 61-69, DOI 10.7151/dmdico.1112.
- [25] A. Szep, Existence theorem for weak solutions of ordinary differential equations in reflexive Banach spaces, Studia Sci. Math. Hungar. 6 (1971), 197-203.
- [26] S. Szufla, Kneser’s theorem for weak solutions of ordinary differential equation in reflexive Banach spaces, Bull. Polish Acad. Sci. Math 26 (1978), 407-413.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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