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On a Priori Estimates of Solutions of Systems of Higher Order Nonlinear Functional-Differential Inequalities
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Ivan Kiguradze
Published/Copyright:
March 10, 2010
Abstract
Systems of higher order nonlinear functional-differential inequalities arising in the theory of boundary value problems as well as in the stability theory are considered on a finite and an infinite interval. On a finite interval, a priori estimates are obtained for solutions of these systems satisfying boundary conditions of periodic type, and on an infinite interval, a priori estimates are established for the derivatives of bounded solutions.
Key words and phrases:: System of higher order nonlinear functionaldifferential inequalities; boundary conditions of periodic type; bounded solution; a priori estimate; the Esclangon–Landau type theorem
Received: 2007-03-15
Published Online: 2010-03-10
Published in Print: 2007-September
© Heldermann Verlag
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Articles in the same Issue
- The Robin Function and Its Eigenvalues
- Finite Dimensional Grading of the Virasoro Algebra
- On Nonmeasurable Subgroups of Uncountable Solvable Groups
- On a Priori Estimates of Solutions of Systems of Higher Order Nonlinear Functional-Differential Inequalities
- On Doubly Periodic Solutions of Nonlinear Hyperbolic Equations of Higher Order
- Analytic Function Theory in Algebras
- Complex Geometry of the Universal Teichmüller Space. II
- On Solvability of the Neumann Problem in an Energy Space for a Domain with Peak
- Stagnation Zones of 𝐴-Solutions
- On a Periodic Boundary Value Problem for Fourth Order Linear Functional Differential Equations
- On the Stability in Bonnet's Theorem of the Surface Theory
- On Some Properties of Solutions of Polyharmonic Equation in Polyhedral Angles
- Generalized Analytic Functions in Higher Dimensions
