Remarks on remotal sets in vector valued function spaces.
Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Displaying similar documents to “On the structure of the set of solutions of a Volterra integral equation in a Banach space”
Remarks on remotal sets in vector valued function spaces.
Exponential analysis of solutions of functional differential equations with unbounded terms.
Raffoul, Youssef N. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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The existence of bounded solutions for differential equations in Hilbert spaces
B. Przeradzki (1992)
Annales Polonici Mathematici
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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
Existence of mild solutions for semilinear equation of evolution
Anna Karczewska, Stanisław Wędrychowicz (1996)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to give an existence theorem for a semilinear equation of evolution in the case when the generator of semigroup of operators depends on time parameter. The paper is a generalization of [2]. Basing on the notion of a measure of noncompactness in Banach space, we prove the existence of mild solutions of the equation considered. Additionally, the applicability of the results obtained to control theory is also shown. The main theorem of the paper allows to characterize...
Some results for one class of discontinuous operators with fixed points.
Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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An abstract nonlinear second order differential equation
Jan Bochenek (1991)
Annales Polonici Mathematici
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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
An existence result for neutral functional differential inclusions in a Banach space.
Guedda, L., Hallouz, A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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A Banach principle for semifinite von Neumann algebras.
Chilin, Vladimir, Litvinov, Semyon (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Existence results for differential equations in Banach spaces
John W. Lee, Donal O'Regan (1993)
Commentationes Mathematicae Universitatis Carolinae
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This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.