Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay

DOI10.1155/2012/219040zbMath1250.35117OpenAlexW2157346442WikidataQ58696008 ScholiaQ58696008MaRDI QIDQ448627

Zdeněk Svoboda, Josef Diblík, Oleksandra Kukharenko, Denis Ya. Khusainov

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/219040

zbMATH Keywords

Fourier methoddecomposition of the system

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Series solutions to PDEs (35C10) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

On the Cauchy problem for a linear harmonic oscillator with pure delay ⋮ Discrete matrix delayed exponential for two delays and its property ⋮ Representation of solutions of linear differential systems of the second order with constant delays ⋮ Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices ⋮ Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices ⋮ Relative Controllability of Neutral Differential Equations with a Delay ⋮ Representation of the solutions of linear discrete systems with constant coefficients and two delays ⋮ Exact solution to a multidimensional wave equation with delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation of a solution of the Cauchy problem for an oscillating system with pure delay
• Boundary-value problems for weakly nonlinear delay differential systems
• Fredholm's boundary-value problems for differential systems with a single delay
• The generalized and functional separation of variables in mathematical physics and mechanics
• Boundary value problems for delay differential systems