Criteria for disfocality and disconjugacy for third order differential equations.

Panigrahi, S.

Displaying similar documents to “Criteria for disfocality and disconjugacy for third order differential equations.”

Liapunov-type inequality for delay-differential equations of third order

N. Parhi, S. Panigrahi (2002)

Czechoslovak Mathematical Journal

Similarity:

A Liapunov-type inequality for a class of third order delay-differential equations is derived.

Exponential stability of two coupled second-order evolution equations.

Wan, Qian, Xiao, Ti-Jun (2011)

Advances in Difference Equations [electronic only]

Similarity:

Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

Czechoslovak Mathematical Journal

Similarity:

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 $\int_{0}^{1} x (1 - x) a (x) d x < \infty$ .

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

Dragomir, S.S. (2008)

Journal of Inequalities and Applications [electronic only]

Similarity:

Differential equations at resonance

Donal O'Regan (1995)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.