Existence of solutions to fractional mixed integrodifferential equations with nonlocal initial condition.
Anguraj, A., Karthikeyan, P., Trujillo, J.J. (2011)
Advances in Difference Equations [electronic only]
Chiş, Adela (2007)
Fixed Point Theory and Applications [electronic only]
Couchouron, Jean-François, Precup, Radu (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Zuodong Yang (2004)
Annales Polonici Mathematici
The existence of a solution for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions is established. Such equations occur in the study of the p-Laplace equation, generalized reaction-diffusion theory, non-Newtonian fluid theory, and in the study of turbulent flows of a gas in a porous medium. The results are obtained by using upper and lower solutions, and extend some previously known results.
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]
Ahmad, Bashir, Nieto, Juan J. (2009)
Boundary Value Problems [electronic only]
Mohmed H. Saleh, Samir M. Amer, Marwa H. Ahmed (2009)
Applications of Mathematics
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Long Tu Li, Xiang Zheng Qian, Zhicheng Wang (1997)
Mathematica Slovaca
Lee, Haeng Joo, Park, Jeongyo, Park, Jong Yeoul (2002)
Electronic Journal of Differential Equations (EJDE) [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.
C.A. Stuart (1974)
Mathematische Zeitschrift
M. Joshi (1975)
Commentationes Mathematicae Universitatis Carolinae
Stanislaw Szufla (1986)
Publications de l'Institut Mathématique
М.М. Вайнберг (1950)
Matematiceskij sbornik
Sikorska-Nowak, Aneta (2007)
Journal of Applied Mathematics
Sikorska, Aneta (2001)
Journal of Inequalities and Applications [electronic only]
Carlos Frederico Vasconcellos, Lucia Maria Teixeira (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques