Global existence and estimates of the solutions to nonlinear integral equations
DOI:
https://doi.org/10.14419/gjma.v5i1.7306Keywords:
Nonlinear Integral EquationsAbstract
It is proved that a class of nonlinear integral equations of the Volterra-Hammerstein type has a global solution, that is, solutions defined for all \(t\ge 0\), and estimates of these solutions as \(t\to \infty\) are obtained. The argument uses a nonlinear differential inequality which was proved by the author and has broad
applications.
References
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[3] A.G.Ramm, A nonlinear inequality and evolution problems, Journ, Ineq. and Special Funct., (JIASF), 1, N1, (2010), 1-9.
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[5] A.G.Ramm, Large-time behavior of solutions to evolution equations, in Handbook of Applications of Chaos Theory, Chapman and Hall/CRC, (ed. C.Skiadas), pp. 183-200.
[6] P. Zabreiko et al, Integral equations: a reference text, Leyden, Noordhoff International Pub., 1975.
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