On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations
Ivan Hlaváček (1971)
Aplikace matematiky
Marian Kwapisz (1975)
Annales Polonici Mathematici
Mohamed Abdalla Darwish (2008)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.
Mária Ďurikovičová (1973)
Matematický časopis
Azzeddine Bellour (2011)
Matematički Vesnik
Topoloski, Krzysztof A. (1998)
Abstract and Applied Analysis
Antoni Augustynowicz, Marian Kwapisz (1986)
Časopis pro pěstování matematiky
Bogdan Rzepecki (1975)
Annales Polonici Mathematici
Abbas, Mohamed I. (2010)
Advances in Difference Equations [electronic only]
Mennicken, R., Rachinskij, D. (2001)
Journal of Inequalities and Applications [electronic only]
Avgerinos, Evgenios P. (1993)
Journal of Applied Mathematics and Stochastic Analysis
Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Aneta Sikorska-Nowak (2004)
Annales Polonici Mathematici
We prove some existence theorems for nonlinear integral equations of the Urysohn type and Volterra type , , where f and φ are functions with values in Banach spaces. Our fundamental tools are: measures of noncompactness and properties of the Henstock-Kurzweil integral.
Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Dariusz Bugajewski (1994)
Commentationes Mathematicae Universitatis Carolinae
In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
Adrian Constantin (1994)
Publicacions Matemàtiques
In this paper we use the Schauder fixed point theorem and methods of integral inequalities in order to prove a result on the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane stochastic integral equations.
Appleby, John A.D., Devin, Siobhán, Reynolds, David W. (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Nguyen Thanh Hong, Trinh Tuan, Nguyen Xuan Thao (2013)
Applications of Mathematics
We deal with several classes of integral transformations of the form where is an operator. In case is the identity operator, we obtain several operator properties on with weights for a generalized operator related to the Fourier cosine and the Kontorovich-Lebedev integral transforms. For a class of differential operators of infinite order, we prove the unitary property of these transforms on and define the inversion formula. Further, for an other class of differential operators of finite...
Aldona Dutkiewicz (2008)
Publications de l'Institut Mathématique
Cabanillas Lapa, E., Huaringa Segura, Z., Leon Barboza, F. (2005)
Journal of Applied Mathematics