Differential - Operator solutions for complex partial differential equations

Celebi, O
Sengul, S
The solutions of complex partial differential equations of order four are obtained by using polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.
Workshop on Recent Trends in Complex Methods for Partial Differential Equations


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Analog of Grobman-Hartman theorem about stable and unstable manifolds solutions for differential equations in Banach spaces with degenerate Fredholm operator at the derivative are proved. In contrast to usual evolution equation here central manifold arises even in the case of spectrum absence on the imaginary axis. Jordan chains tools and implicit operator theorem are used. The obtained results allow to develop center manifold methods for computation of bifurcation solution asymptotics and their stability i...
Citation Formats
O. Celebi and S. Sengul, “Differential - Operator solutions for complex partial differential equations,” METU, Ankara Turkey, 1998, vol. 6, p. 29, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65196.