Concepedia

Nonlinear differential equations and dynamical systems

Unknown author(s)

Choice Reviews Online · 1990 · 173 citations · 173 references

Concepts

Natural SciencesMathematicsDifferential EquationsDynamical SystemsMathematical PhysicsChaos TheoryDissipative SystemsExistence TheoryNonlinear DynamicsPartial Differential EquationsSystems Of Differential EquationsDynamical Systems StabilityNonlinear Boundary-value ProblemsNonlinear Differential Equation ModelsNonlinear Differential-algebraic EquationsNonlinear Partial Differential EquationsNonlinear StabilityNonlinear SystemsSecond-order Differential Equations

Abstract

theory, lower and upper solutions and Green´s functions, among others.

References

173

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

Dumitru Bǎleanu · DOAJ (DOAJ: Directory of Open Access Journals) · 2016 · 3.9K citations · Full text

Engineering, Mechanical Engineering, Physics +11

The Mathematical Theory of Optimal Processes

M. L. Chambers, L. S. Pontryagin, V. G. Boltyanskiĭ et al. · OR · 1965 · 3.3K citations

Natural Sciences, Mathematics, Optimization +13

Analysis of Fractional Differential Equations

Kai Diethelm, Neville J. Ford · Journal of Mathematical Analysis and Applications · 2002 · 3.2K citations

Natural Sciences, Mathematics, Differential Equations +3

Graphical Representation and Stability Conditions of Predator-Prey Interactions

Michael L. Rosenzweig, Robert H. MacArthur · The American Naturalist · 1963 · 2.1K citations

Life Sciences, Ecology, Dynamical Systems +14

Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Yan Li, YangQuan Chen, Igor Podlubný · Computers & Mathematics with Applications · 2009 · 1.6K citations

Natural Sciences, Mathematics, Differential Equations +12