A multiplicity fixed point theorem in Fréchet spaces.

O'Regan, D.

Displaying similar documents to “A multiplicity fixed point theorem in Fréchet spaces.”

Global existence for functional semilinear integro-differential equations

Sotiris K. Ntouyas (1998)

Archivum Mathematicum

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In this paper, we study the global existence of solutions for first and second order initial value problems for functional semilinear integrodifferential equations in Banach space, by using the Leray-Schauder Alternative or the Nonlinear Alternative for contractive maps.

Asymptotic justification of the conserved phase-field model with memory.

Felli, V. (2000)

Zeitschrift für Analysis und ihre Anwendungen

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A classification scheme for positive solutions to second order nonlinear iterative differential equations.

Fan, Xianling, Li, Wan-Tong, Zhong, Chengkui (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Positive solutions of a nonlinear three-point boundary-value problem.

Ma, Ruyun (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On asymptotic properties of solutions of third order linear differential equations with deviating arguments

Ivan Kiguradze (1994)

Archivum Mathematicum

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The asymptotic properties of solutions of the equation $u^{'''} (t) = p_{1} (t) u (τ_{1} (t)) + p_{2} (t) u^{'} (τ_{2} (t))$ , are investigated where $p_{i} : [a, + \infty [\to R (i = 1, 2)$ are locally summable functions, $τ_{i} : [a, + \infty [\to R (i = 1, 2)$ measurable ones and $τ_{i} (t) \geq t (i = 1, 2)$ . In particular, it is proved that if $p_{1} (t) \leq 0$ , $p_{2}^{2} (t) \leq α (t) | p_{1} (t) |$ , $\int_{a}^{+ \infty} {[τ_{1} (t) - t]}^{2} p_{1} (t) d t < + \infty and \int_{a}^{+ \infty} α (t) d t < + \infty,$ then each solution with the first derivative vanishing at infinity is of the Kneser type and a set of all such solutions forms a one-dimensional linear space.