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Bounded and Vanishing at Infinity Solutions of Nonlinear Differential Systems
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Ivan Kiguradze
Veröffentlicht/Copyright:
11. März 2010
Abstract
For systems of nonlinear nonautonomous ordinary differential equations, the conditions, optimal in a certain sense, are established, which guarantee the solvability and well-posedness of the problem on bounded solutions, the vanishing at infinity of all bounded solutions and the global asymptotic stability of a trivial solution.
Key words and phrases:: System of nonlinear ordinary differential equations; problem of bounded solutions; solvability; well-posedness; vanishing at infinity solution; global asymptotic stability
Received: 2008-09-04
Published Online: 2010-03-11
Published in Print: 2009-December
© Heldermann Verlag
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- On the Necessary and Sufficient Conditions for the Stability of Linear Generalized Ordinary Differential, Linear Impulsive and Linear Difference Systems
- Nonlinear Three-Point Boundary Value Problems for a Class of Impulsive Functional Differential Equations
- Unilateral Contact Problems with Friction for Hemitropic Elastic Solids
- A Periodic Boundary Value Problem for Functional Differential Equations of Higher Order
- The Jawerth–Franke Embedding of Spaces with Dominating Mixed Smoothness
- Stability by Fixed Point Theory for Nonlinear Delay Difference Equations
- On the Rates of Convergence of Chlodovsky–Durrmeyer Operators and their Bézier Variant
- On Nonmeasurable Functions of Two Variables and Iterated Integrals
- Bounded and Vanishing at Infinity Solutions of Nonlinear Differential Systems
- On Functional Equations Connected with Quadrature Rules
- The Riemann–Hilbert Problem in a Domain with Piecewise Smooth Boundaries in Weight Classes of Cauchy Type Integrals with a Density from Variable Exponent Lebesgue Spaces
- A Counterexample on Embedding of Spaces
- On Solutions of a Singular Viscoelastic Equation with an Integral Condition
- Nonbounding 𝑛-C.E. 𝑄-Degrees
- Nonequivalence of Unilateral Strong Differentiation Bases in
Schlagwörter für diesen Artikel
System of nonlinear ordinary differential equations;
problem of bounded solutions;
solvability;
well-posedness;
vanishing at infinity solution;
global asymptotic stability
Artikel in diesem Heft
- On the Necessary and Sufficient Conditions for the Stability of Linear Generalized Ordinary Differential, Linear Impulsive and Linear Difference Systems
- Nonlinear Three-Point Boundary Value Problems for a Class of Impulsive Functional Differential Equations
- Unilateral Contact Problems with Friction for Hemitropic Elastic Solids
- A Periodic Boundary Value Problem for Functional Differential Equations of Higher Order
- The Jawerth–Franke Embedding of Spaces with Dominating Mixed Smoothness
- Stability by Fixed Point Theory for Nonlinear Delay Difference Equations
- On the Rates of Convergence of Chlodovsky–Durrmeyer Operators and their Bézier Variant
- On Nonmeasurable Functions of Two Variables and Iterated Integrals
- Bounded and Vanishing at Infinity Solutions of Nonlinear Differential Systems
- On Functional Equations Connected with Quadrature Rules
- The Riemann–Hilbert Problem in a Domain with Piecewise Smooth Boundaries in Weight Classes of Cauchy Type Integrals with a Density from Variable Exponent Lebesgue Spaces
- A Counterexample on Embedding of Spaces
- On Solutions of a Singular Viscoelastic Equation with an Integral Condition
- Nonbounding 𝑛-C.E. 𝑄-Degrees
- Nonequivalence of Unilateral Strong Differentiation Bases in
