A fixed point theorem of Leggett-Williams type with applications to single- and multivalued equations.
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Agarwal, Ravi P., O'Regan, Donal (2001)
Georgian Mathematical Journal
Mydlarczyk, W. (2001)
Journal of Inequalities and Applications [electronic only]
El-Sayed, A.M.A., Hashem, H.H.G. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Reynolds, David W., Appleby, John A.D. (2008)
Electronic Journal of Probability [electronic only]
Wang, Yan, Guo, Yunrui, Zhang, Qihu (2010)
Journal of Inequalities and Applications [electronic only]
Shu-Gui Kang, Bao Shi, Sui Sun Cheng (2009)
Annales Polonici Mathematici
Existence of periodic solutions of functional differential equations with parameters such as Nicholson’s blowflies model call for the investigation of integral equations with parameters defined over spaces with periodic structures. In this paper, we study one such equation , x ∈ Ω, by means of the proper value theory of operators in Banach spaces with cones. Existence, uniqueness and continuous dependence of proper solutions are established.
Alfredo Lorenzi, Aleksey Ivanovic Prilepko (1996)
Rendiconti del Seminario Matematico della Università di Padova
Guo, Dajun (1992)
Journal of Applied Mathematics and Stochastic Analysis
El-Sayed, A.M.A., Hashem, H.H.G. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Karakostas, G.L., Tsamatos, P.Ch. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Michal Fečkan (1995)
Commentationes Mathematicae Universitatis Carolinae
Existence results of nonnegative solutions of asymptotically linear, nonlinear integral equations are studied.
Purnaras, Ioannis K. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Thierry Goudon, Mazen Saad (1998)
Revista Matemática Complutense
Satoru Murakami, Pham Ngoc (2010)
Open Mathematics
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
Mennicken, R., Rachinskij, D. (2001)
Journal of Inequalities and Applications [electronic only]
Nguyen Thanh Long (2006)
Journal of Inequalities and Applications [electronic only]
Appleby, John A.D. (2010)
International Journal of Differential Equations
Rudolf Olach, Helena Šamajová (2005)
Open Mathematics
Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.
Long, Wei, Ding, Hui-Sheng (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Janusz Traple (1992)
Annales Polonici Mathematici
An existence theorem is proved for the scalar convolution type integral equation .
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