An continuation results for Fredholm integral equations on locally convex spaces.
Chiş, Adela (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Chiş, Adela (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Wysocki, Hubert, Zellma, Marek (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 44A40, 45B05 The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.
Dinu, Teodora-Liliana (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bogdan Przeradzki (1993)
Colloquium Mathematicae
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Three methods for the study of the solvability of semilinear equations with noninvertible linear parts are compared: the alternative method, the continuation method of Mawhin and a new perturbation method [22]-[27]. Some extension of the last method and applications to differential equations in Banach spaces are presented.
Duduchava, R., Kapanadze, D. (1999)
Georgian Mathematical Journal
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Michal Fečkan (1993)
Annales Polonici Mathematici
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The existence of solutions is studied for certain nonlinear differential equations with both linear and nonlinear conditions
Alziary, Benedicte, Fleckinger, Jacqueline, Takáč, Peter (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Keiko Narita, Noboru Endou, Yasunari Shidama (2013)
Formalized Mathematics
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In this article, we describe the differential equations on functions from R into real Banach space. The descriptions are based on the article [20]. As preliminary to the proof of these theorems, we proved some properties of differentiable functions on real normed space. For the proof we referred to descriptions and theorems in the article [21] and the article [32]. And applying the theorems of Riemann integral introduced in the article [22], we proved the ordinary differential equations...
Svanadze, K. (2003)
Georgian Mathematical Journal
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Xuan, Benjin (2003)
Revista Colombiana de Matemáticas
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