On a nonlinear integral equation with contractive perturbation.

Zhu, Huan

Displaying similar documents to “On a nonlinear integral equation with contractive perturbation.”

Existence of solutions of perturbed O.D.E.'s in Banach spaces

Giovanni Emmanuele (1991)

Commentationes Mathematicae Universitatis Carolinae

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We consider a perturbed Cauchy problem like the following $(PCP) \{\begin{matrix} x^{'} = A (t, x) + B (t, x) x (0) = x_{0} \end{matrix}$ and we present two results showing that (PCP) has a solution. In some cases, our theorems are more general than the previous ones obtained by other authors (see [4], [8], [9], [11], [13], [17], [18]).

BV solutions of multivalued differential equations on closed moving sets in Banach spaces

H. Benabdellah, C. Castaing, M. Gamal Ibrahim (1995)

Banach Center Publications

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This paper is concerned with the existence of BV and right continuous solutions for some classes of multivalued differential equations on closed moving sets in Banach spaces.

Weak and strong topologies and integral equations in Banach spaces

Donal O'Regan (1995)

Annales Polonici Mathematici

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The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel’skiĭ’s fixed point theorem due to Nashed and Wong are used to establish existence of $L^{α}$ and C solutions to Volterra and Hammerstein integral equations in Banach spaces.

Regularity for solutions of second-order nonlinear integrodifferential functional equations.

Park, Dong-Gun, Jeong, Jin-Mun, Kim, Han-Geul (2010)

Journal of Inequalities and Applications [electronic only]

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On the Volterra integral equation with weakly singular kernel

Stanisław Szufla (2006)

Mathematica Bohemica

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We give sufficient conditions for the existence of at least one integrable solution of equation $x (t) = f (t) + \int_{0}^{t} K (t, s) g (s, x (s)) d s$ . Our assumptions and proofs are expressed in terms of measures of noncompactness.

On the existence of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional order.

Abbas, Mohamed I. (2010)

Advances in Difference Equations [electronic only]

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