Growth estimates on mixed Volterra-Fredholm type integral inequalities

• Autorzy: Pachpatte B. G.
• Języki publikacji: EN

Abstrakty

EN

In this paper we establish explicit estimates on some mixed Volterra-Fredholm type integral inequalities which can be used as tools in certain applications. Some applications are also given to illustrate the usefulness of the results.

Słowa kluczowe

EN

growth estimates; Volterra-Fredholm type; integral inequalities; partial differential equations; epidemic models

PL

równania różniczkowe cząstkowe; model epidemiczny; szacunek wzrostu

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 42
• Strony: 63--72
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pachpatte B. G.

• 57 Shri Niketan Colony, Near Abhinay Talkies Aurangabad 431 001 (Maharashtra), India,

Bibliografia

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• [4] Ladyzenskaja O.A., Solonikov V.A., Uralaceva N.N., Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence, R.I., 1968.
• [5] Mikhailov V.P., Partial Differential Equations, Mir Publishers, Moscow, 1978.
• [6] Pachpatte B.G., Inequalities for Differential and Integral Equations, Academic Press, New York, 1998.
• [7] Pachpatte B.G., Integral and Finite Difference Inequalities and Applications, North-Holland Mathematics Studies, Vol. 205, Elsevier Science B.V. Amsterdam, 2006.
• [8] Pachpatte B.G., On mixed Volterra-Fredholm type integral equations, Indian J. Pure and Appl. Math., 17(1986), 488-496.
• [9] Pachpatte B.G., On Volterra-Fredholm integral equation in two variables, Demonstratio Mathematica, XL(2007), 839-850.
• [10] Walter W., Differential and Integral Inequalities, Springer-Verlag-Berlin, New York, 1970.