Uniqueness of solutions to integrodifferential and functional integrodifferential equations.

Bahuguna, D.; Garey, L.E.

Displaying similar documents to “Uniqueness of solutions to integrodifferential and functional integrodifferential equations.”

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

N. Parhi, S. Panigrahi (2002)

Czechoslovak Mathematical Journal

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

A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities.

Lair, Alan V. (1990)

International Journal of Mathematics and Mathematical Sciences

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Criteria for disfocality and disconjugacy for third order differential equations.

Panigrahi, S. (2009)

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Exponential stability of two coupled second-order evolution equations.

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

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Asymptotic behavior of solutions to some homogeneous second-order evolution equations of monotone type.

Rouhani, Behzad Djafari, Khatibzadeh, Hadi (2007)

Journal of Inequalities and Applications [electronic only]

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Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

Czechoslovak Mathematical Journal

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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 the existence of multiple solutions for a nonlocal BVP with vector-valued response

Andrzej Nowakowski, Aleksandra Orpel (2006)

Czechoslovak Mathematical Journal

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The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.