Second order linear Volterra integrodifferential equations.
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Second order semilinear Volterra integrodifferential equation in Banach space
Jan Bochenek (1992)
Annales Polonici Mathematici
By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of some semilinear second order Volterra integrodifferential equations in Banach spaces is proved. The results are applied to some integro-partial differential equations.
Second-order nonlinear impulsive integro-differential equations of mixed type and optimal controls in fractional power spaces.
Peng, Y. (2010)
Abstract and Applied Analysis
Semilinear Neutral Functional Integrodifferential Inclusions
S. K. Ntouyas, M. Benchohra, E. P. Gatsori (2004)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Semilinear Volterra integrodifferential equations with nonlocal initial conditions.
Aizicovici, Sergiu, McKibben, Mark (1999)
Abstract and Applied Analysis
Singular Cauchy initial value problem for certain classes of integro-differential equations.
Šmarda, Zdeněk (2010)
Advances in Difference Equations [electronic only]
Solution of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels.
Saxena, R.K., Kalla, S.L. (2005)
International Journal of Mathematics and Mathematical Sciences
Solutions for a class of integro-differential equations with time periodic coefficients.
Machado, José Márcio, Tsuchida, Masayoshi (2002)
Applied Mathematics E-Notes [electronic only]
Solvability of nonautonomous fractional integrodifferential equations with infinite delay.
Li, Fang (2011)
Advances in Difference Equations [electronic only]
Solvability of quasilinear elliptic equations with strong dependence on the gradient.
Žubrinić, Darko (2000)
Abstract and Applied Analysis
Some results on the ultimate behavior of solutions of Volterra functional-differential equations
C. Corduneanu (1990)
Annales Polonici Mathematici
Some stability and boundedness criteria for a class of Volterra integro-differential systems.
Vanualailai, Jito (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Spectral analysis of perturbed multiplication operators occurring in polymerization chemistry
Niels Joergen Kokholm (1989)
Journées équations aux dérivées partielles
Spline Collocation for Singular Integro-differential Equations over (0, 1).
Gunther Schmidt (1986/1987)
Numerische Mathematik
Stability analysis of reducible quadrature methods for Volterra integro-differential equations
Vernon L. Bakke, Zdzisław Jackiewicz (1987)
Aplikace matematiky
Stability analysis for numerical solutions of Voltera integro-differential equations based on linear multistep methods combined with reducible quadrature rules is presented. The results given are based on the test equation and absolute stability is deffined in terms of the real parameters and . Sufficient conditions are illustrated for - methods and for combinations of Adams-Moulton and backward differentiation methods.
Stability analysis of -methods for neutral multidelay integrodifferential system.
Xu, Y., Zhao, J.J., Sui, Z.N. (2007)
Discrete Dynamics in Nature and Society
Stability criteria of linear neutral systems with distributed delays
Guang-Da Hu (2011)
Kybernetika
In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded...
Stability of the solutions of impulsive integro-differential equations in terms of two measures
G. K. Kulev, D. D. Bainov (1991)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Stability of Volterra system with impulsive effect.
Ramamohana Rao, M., Sivasundaram, S. (1991)
Journal of Applied Mathematics and Stochastic Analysis
Stable oscillations of weakly nonlinear Volterra integro-differential equations.
F.C. Hoppensteadt, A. Schiaffino (1984)
Journal für die reine und angewandte Mathematik
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