Exponential stability of two coupled second-order evolution equations.

Wan, Qian; Xiao, Ti-Jun

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Criteria for disfocality and disconjugacy for third order differential equations.

Panigrahi, S. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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A sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral and applications.

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Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

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Existence results are established for the resonant problem $y^{''} + λ_{m} a y = f (t, y)$ a.e. on $[0, 1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a \in L_{l o c}^{1} (0, 1)$ with $a > 0$ a.e. on $[0, 1]$ and $\int_{0}^{1} x (1 - x) a (x) d x < \infty$ .

On an inequality of Ostrowski type.

Pecaric, Josip E., Ungar, Sime (2006)

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Differential equations at resonance

Donal O'Regan (1995)

Commentationes Mathematicae Universitatis Carolinae

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New existence results are presented for the two point singular “resonant” boundary value problem $\frac{1}{p} {(p y^{'})}^{'} + r y + λ_{m} q y = f (t, y, p y^{'})$ a.eȯn $[0, 1]$ with $y$ satisfying Sturm Liouville or Periodic boundary conditions. Here $λ_{m}$ is the ${(m + 1)}^{s t}$ eigenvalue of $\frac{1}{p q} [{(p u^{'})}^{'} + r p u] + λ u = 0$ a.eȯn $[0, 1]$ with $u$ satisfying Sturm Liouville or Periodic boundary data.

On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations.

Kharibegashvili, S. (2005)

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Generalizations of some new Čebyšev type inequalities.

Liu, Zheng (2007)

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Reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces.

Dragomir, S.S. (2005)

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