Existence of global solutions to nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.
Tidke, Haribhau L. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Li, Fang, Zhang, Jun (2011)
Advances in Difference Equations [electronic only]
Wang, Jinrong, Xiang, X., Wei, W. (2008)
Abstract and Applied Analysis
Nikolaos S. Papageorgiou (1994)
Publications de l'Institut Mathématique
Nikolaos S. Papageorgiou (1991)
Commentationes Mathematicae Universitatis Carolinae
In this paper we examine nonlinear integrodifferential inclusions defined in a separable Banach space. Using a compactness type hypothesis involving the ball measure of noncompactness, we establish two existence results. One involving convex-valued orientor fields and the other nonconvex valued ones.
Tidke, H.L., Dhakne, M.B. (2010)
Surveys in Mathematics and its Applications
Balachandran, K., Park, J.Y. (2002)
Journal of Applied Mathematics and Stochastic Analysis
Giovanni Emmanuele (1994)
Czechoslovak Mathematical Journal
Hong, S.H., Qiu, Z. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Kanakaraj, M., Balachandran, K. (2003)
Journal of Applied Mathematics and Stochastic Analysis
Couchouron, Jean-François, Precup, Radu (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
dos Santos, José Paulo Carvalho, Cuevas, Claudio, de Andrade, Bruno (2011)
Advances in Difference Equations [electronic only]
Dos Santos, J.P.C. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Hernandez, E., Henriquez, H.R., Dos Santos, J.P.C. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Mouffak Benchohra, Sotiris K. Ntouyas (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Mieczysław Cichoń, Ireneusz Kubiaczyk (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper we prove an existence theorem for the Hammerstein integral equation , where the integral is taken in the sense of Pettis. In this theorem continuity assumptions for f are replaced by weak sequential continuity and the compactness condition is expressed in terms of the measures of weak noncompactness. Our equation is considered in general Banach spaces.
Stanislaw Szufla (1986)
Publications de l'Institut Mathématique
Sikorska, Aneta (2001)
Journal of Inequalities and Applications [electronic only]
Roberto Díaz, Jaime Muñoz, Carlos Martínez, Octavio Vera (2020)
Applications of Mathematics
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
Aizicovici, Sergiu, Papageorgiou, Nikolaos S. (1992)
Journal of Applied Mathematics and Stochastic Analysis