Applied Mathematics Letters, ISSN 0893-9659, 06/2017, Volume 68, pp. 20 - 26

This paper is concerned with the oscillatory behavior of first-order differential equations with several non-monotone delay arguments and non-negative...

Nonoscillatory solutions | Differential equation | Oscillatory solutions | Non-monotone argument | MATHEMATICS, APPLIED | DELAY EQUATIONS | Differential equations

Nonoscillatory solutions | Differential equation | Oscillatory solutions | Non-monotone argument | MATHEMATICS, APPLIED | DELAY EQUATIONS | Differential equations

Journal Article

2.
Full Text
Iterative oscillation tests for differential equations with several non-monotone arguments

Advances in Difference Equations, ISSN 1687-1839, 12/2016, Volume 2016, Issue 1, pp. 1 - 18

Sufficient oscillation conditions involving lim sup and lim inf for first-order differential equations with several non-monotone deviating arguments and...

delay equations | advanced arguments | differential equations with deviating arguments | Mathematics | 34K11 | Ordinary Differential Equations | Functional Analysis | Analysis | 34K06 | Grönwall inequality | Difference and Functional Equations | oscillation | Mathematics, general | Partial Differential Equations | non-monotone arguments | MATHEMATICS | MATHEMATICS, APPLIED | NONOSCILLATION | COEFFICIENTS | Gronwall inequality | DELAY | Differential equations | Oscillation | Tests, problems and exercises | Difference equations | Inequalities | Mathematics - Dynamical Systems

delay equations | advanced arguments | differential equations with deviating arguments | Mathematics | 34K11 | Ordinary Differential Equations | Functional Analysis | Analysis | 34K06 | Grönwall inequality | Difference and Functional Equations | oscillation | Mathematics, general | Partial Differential Equations | non-monotone arguments | MATHEMATICS | MATHEMATICS, APPLIED | NONOSCILLATION | COEFFICIENTS | Gronwall inequality | DELAY | Differential equations | Oscillation | Tests, problems and exercises | Difference equations | Inequalities | Mathematics - Dynamical Systems

Journal Article

Journal of Difference Equations and Applications, ISSN 1023-6198, 01/2019, Volume 25, Issue 1, pp. 64 - 83

An iterative procedure is used to establish the oscillatory sufficient conditions of first-order linear difference equations with several non-monotone...

oscillatory solutions | nonoscillatory solutions | 39A10 | 39A21 | Difference equation | non-monotone arguments | CRITERIA | MATHEMATICS, APPLIED | Difference equations | Mathematical analysis

oscillatory solutions | nonoscillatory solutions | 39A10 | 39A21 | Difference equation | non-monotone arguments | CRITERIA | MATHEMATICS, APPLIED | Difference equations | Mathematical analysis

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2019, Volume 2019, Issue 1, pp. 1 - 20

The oscillatory behavior of the solutions to a differential equation with several non-monotone arguments and nonnegative coefficients is studied, and some new...

Oscillatory solution | Differential equation | Mathematics | 34K11 | Ordinary Differential Equations | Functional Analysis | Analysis | 34K06 | Difference and Functional Equations | Mathematics, general | Nonoscillatory solution | Partial Differential Equations | Non-monotone argument | MATHEMATICS | MATHEMATICS, APPLIED | Differential equations

Oscillatory solution | Differential equation | Mathematics | 34K11 | Ordinary Differential Equations | Functional Analysis | Analysis | 34K06 | Difference and Functional Equations | Mathematics, general | Nonoscillatory solution | Partial Differential Equations | Non-monotone argument | MATHEMATICS | MATHEMATICS, APPLIED | Differential equations

Journal Article

International Journal of Approximate Reasoning, ISSN 0888-613X, 2008, Volume 48, Issue 3, pp. 730 - 751

In preference-based argumentation theory, an argument may be preferred to another one when, for example, it is more specific, its beliefs have a higher...

Value-based argumentation framework | Preferences | Argumentation theory | Non-monotonic reasoning | preferences | non-monotonic reasoning | argumentation theory | value-based argumentation framework | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | FRAMEWORKS

Value-based argumentation framework | Preferences | Argumentation theory | Non-monotonic reasoning | preferences | non-monotonic reasoning | argumentation theory | value-based argumentation framework | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | FRAMEWORKS

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 05/2015, Volume 258, pp. 60 - 66

Consider the first-order retarded difference equationΔx(n)+p(n)xτ(n)=0,n∈N0where (p(n))n⩾0 is a sequence of nonnegative real numbers, and (τ(n))n⩾0 is a...

Nonoscillatory solutions | Difference equation | Retarded argument | Oscillatory solutions | Non-monotone argument | UNBOUNDED DELAY | CRITERIA | MATHEMATICS, APPLIED | DELAY EQUATIONS

Nonoscillatory solutions | Difference equation | Retarded argument | Oscillatory solutions | Non-monotone argument | UNBOUNDED DELAY | CRITERIA | MATHEMATICS, APPLIED | DELAY EQUATIONS

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 09/2016, Volume 59, pp. 101 - 108

The oscillatory behavior of the solutions to a differential equation with several non-monotone delay arguments and non-negative coefficients is studied. A new...

Nonoscillatory solutions | Differential equation | Non-monotone delay argument | Oscillatory solutions | MATHEMATICS, APPLIED | RETARDED ARGUMENTS | Analysis | Differential equations | Criteria | Mathematical analysis | Delay | Mathematics - Classical Analysis and ODEs

Nonoscillatory solutions | Differential equation | Non-monotone delay argument | Oscillatory solutions | MATHEMATICS, APPLIED | RETARDED ARGUMENTS | Analysis | Differential equations | Criteria | Mathematical analysis | Delay | Mathematics - Classical Analysis and ODEs

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2018, Volume 2018, Issue 1, pp. 1 - 11

The aim of this paper is to obtain some new oscillatory conditions for all solutions of nonlinear difference equation with non-monotone or non-decreasing...

Delay difference equation | Nonlinear | Ordinary Differential Equations | 39A10 | Functional Analysis | Analysis | Non-monotone arguments | Oscillation | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | CRITERIA | MATHEMATICS | MATHEMATICS, APPLIED | Real numbers | Nonlinear analysis

Delay difference equation | Nonlinear | Ordinary Differential Equations | 39A10 | Functional Analysis | Analysis | Non-monotone arguments | Oscillation | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | CRITERIA | MATHEMATICS | MATHEMATICS, APPLIED | Real numbers | Nonlinear analysis

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 16

This paper is concerned with the oscillatory behavior of first-order retarded [advanced] difference equation of the form Δ x ( n ) + p ( n ) x ( τ ( n ) ) = 0...

advanced arguments | Mathematics | difference equations | Ordinary Differential Equations | 39A10 | 39A21 | Functional Analysis | Analysis | retarded arguments | Grönwall inequality | Difference and Functional Equations | oscillation | Mathematics, general | Partial Differential Equations | non-monotone arguments | MATHEMATICS | MATHEMATICS, APPLIED | Gronwall inequality | DELAY ARGUMENT | Theorems (Mathematics) | Usage | Algorithms | Difference equations | Tests, problems and exercises | Real numbers | Texts | Software | Criteria | Computer programs | Matlab

advanced arguments | Mathematics | difference equations | Ordinary Differential Equations | 39A10 | 39A21 | Functional Analysis | Analysis | retarded arguments | Grönwall inequality | Difference and Functional Equations | oscillation | Mathematics, general | Partial Differential Equations | non-monotone arguments | MATHEMATICS | MATHEMATICS, APPLIED | Gronwall inequality | DELAY ARGUMENT | Theorems (Mathematics) | Usage | Algorithms | Difference equations | Tests, problems and exercises | Real numbers | Texts | Software | Criteria | Computer programs | Matlab

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 24

Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone...

differential equation | nonoscillatory solution | Mathematics | 34K11 | Ordinary Differential Equations | Functional Analysis | Analysis | 34K06 | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | non-monotone argument | oscillatory solution | MATHEMATICS | MATHEMATICS, APPLIED | DELAY EQUATIONS | Inequalities (Mathematics) | Theorems (Mathematics) | Usage | Differential equations

differential equation | nonoscillatory solution | Mathematics | 34K11 | Ordinary Differential Equations | Functional Analysis | Analysis | 34K06 | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | non-monotone argument | oscillatory solution | MATHEMATICS | MATHEMATICS, APPLIED | DELAY EQUATIONS | Inequalities (Mathematics) | Theorems (Mathematics) | Usage | Differential equations

Journal Article

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New oscillation criterion for delay differential equations with non-monotone arguments

Applied Mathematics Letters, ISSN 0893-9659, 04/2016, Volume 54, pp. 54 - 59

We investigate the oscillation of a first order delay differential equation with non-negative coefficient and non-monotone arguments. New oscillation criterion...

Non-monotone delays | Oscillation | Differential equations | Analysis

Non-monotone delays | Oscillation | Differential equations | Analysis

Journal Article

Electronic Journal of Qualitative Theory of Differential Equations, ISSN 1417-3875, 2018, Volume 2018, Issue 39, pp. 1 - 12

This article concerns the oscillatory behavior of first-order non-linear differential equations with several variable deviating arguments and non-negative...

Non-oscillatory solution | Oscillatory solution | Differential equation | Grönwall inequality | Non-monotone argument | MATHEMATICS | MATHEMATICS, APPLIED | differential equation | non-oscillatory solution | Gronwall inequality | non-monotone argument | oscillatory solution | nonoscillatory solution | grönwall inequality

Non-oscillatory solution | Oscillatory solution | Differential equation | Grönwall inequality | Non-monotone argument | MATHEMATICS | MATHEMATICS, APPLIED | differential equation | non-oscillatory solution | Gronwall inequality | non-monotone argument | oscillatory solution | nonoscillatory solution | grönwall inequality

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 01/2020, Volume 28, Issue 1, pp. 136 - 151

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 10/2019, Volume 27, Issue 5, pp. 781 - 789

Journal Article

Opuscula Mathematica, ISSN 1232-9274, 2019, Volume 39, Issue 3, pp. 321 - 353

Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new...

nonoscillatory solution | differential equation | non-monotone argument | oscillatory solution

nonoscillatory solution | differential equation | non-monotone argument | oscillatory solution

Journal Article

Applied Mathematics and Information Sciences, ISSN 1935-0090, 09/2018, Volume 12, Issue 5, pp. 1047 - 1053

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 01/2014, Volume 226, pp. 661 - 672

Consider the first-order linear delay differential equation(1)x′(t)+p(t)x(τ(t))=0,t⩾t0,where p,τ∈C([t0,∞),R+), τ(t) Delay, difference equations | Oscillation | Non-monotone arguments | MATHEMATICS, APPLIED | Analysis | Differential equations | Difference equations | Computation | Oscillations | Mathematical models | Criteria | Delay

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 4/2017, Volume 14, Issue 2, pp. 1 - 17

In this paper, we present sufficient conditions involving limsup which guarantee the oscillation of all solutions of a differential equation with non-monotone...

oscillatory solutions | nonoscillatory solutions | Differential equation | 34K06 | Grönwall inequality | Mathematics, general | Mathematics | 34K11 | non-monotone argument | MATHEMATICS | MATHEMATICS, APPLIED | Gronwall inequality | DELAY | Algorithms | Differential equations

oscillatory solutions | nonoscillatory solutions | Differential equation | 34K06 | Grönwall inequality | Mathematics, general | Mathematics | 34K11 | non-monotone argument | MATHEMATICS | MATHEMATICS, APPLIED | Gronwall inequality | DELAY | Algorithms | Differential equations

Journal Article

Funkcialaj Ekvacioj, ISSN 0532-8721, 2015, Volume 58, Issue 3, pp. 347 - 364

Consider the first-order linear differential equation with several retarded arguments x′(t) + Σmi=1 pi(t)x(τi(t)) = 0, t ≥ t0, where the functions pi, τi ∈...

Retarded | Oscillation | Differential equations | Non-monotone arguments | Nonmonotone arguments | MATHEMATICS | MATHEMATICS, APPLIED

Retarded | Oscillation | Differential equations | Non-monotone arguments | Nonmonotone arguments | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

20.
Full Text
Iterative oscillation tests for difference equations with several non-monotone arguments

Journal of Difference Equations and Applications, ISSN 1023-6198, 09/2015, Volume 21, Issue 9, pp. 854 - 874

We consider difference equations with several non-monotone deviating arguments and non-negative coefficients. The deviations (delays and advances) are,...

39A10 | 39A21 | retarded arguments | advanced arguments | oscillation | bounded delays | bounded advances | difference equations | non-monotone arguments | CRITERIA | MATHEMATICS, APPLIED | DELAY | Oscillations | Difference equations | Deviation | Delay | Images

39A10 | 39A21 | retarded arguments | advanced arguments | oscillation | bounded delays | bounded advances | difference equations | non-monotone arguments | CRITERIA | MATHEMATICS, APPLIED | DELAY | Oscillations | Difference equations | Deviation | Delay | Images

Journal Article

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