[PDF] Top 20 On Properties of Third Order Differential Equations via Comparison Principles
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On Properties of Third Order Differential Equations via Comparison Principles
... new comparison theorems that permit to study properties of E via properties of the second-order differential equations, in the sense that the oscillation of the ... See full document
11
Oscillation Properties of Third Order Neutral Delay Differential Equations
... asymptotic properties of the third-order differential equations (see ...the third-order nonlinear differential equation ... See full document
9
Comparison principles for fractional differential equations with the Caputo derivatives
... the comparison principles for Caputo-type fractional differential equations are im- portant for the study of properties of their ...on comparison principles for fractional ... See full document
11
Oscillation theorems for second order nonlinear neutral difference equations
... new comparison theorems for investigation of the os- cillation of equation ...established comparison principles reduce the study of the oscillation of the second order neutral difference ... See full document
15
Random differential inequalities and comparison principles for nonlinear hybrid random differential equations
... A non-empty closed set K in a Banach space E is called a cone with vertex 0, if (i) K + K ⊆ K, (ii) λK ⊆ K for λ ∈ N , λ ≥ 0 and (iii) {−K} ∩ K = 0, where 0 is the zero element of E. We introduce an order relation ... See full document
19
Properties of third order nonlinear differential equations
... new comparison principles, in which we compare our third order equation with the second order differential inequality and this reduction essentially simplifies the investigation of the ... See full document
9
Comparison Theorems for the Third Order Delay Trinomial Differential Equations
... the properties of the positive solutions of V , and then we will be able to study the oscillation of the trinomial equation E with, the help of its binomial representation E C ... See full document
12
Asymptotic behavior of third order functional differential equations with a negative middle term
... This paper is concerned with asymptotic and oscillatory properties of the nonlinear third-order differential equation with a negative middle term. Both delay and advanced cases of argument deviation ... See full document
15
Oscillatory and asymptotic properties of third order quasilinear delay differential equations
... which, in view of (3.6), contradicts the positivity of y (t). The proof is complete. The next result is based on a comparison with a first-order delay inequality. This result, in connection with the results ... See full document
17
Oscillatory behavior of third order nonlinear neutral delay differential equations
... Remark . Without requiring assumptions (.) and (.), Theorem . is presented by using the double generalized Riccati substitutions (.) and (.). We stress that the study of oscillatory properties of ... See full document
12
Oscillation criteria for third order delay differential equations
... some comparison principles based on which the oscillatory behavior of the solutions of the studied differential equation is in- herited from the oscillations in a first-order delay differential ... See full document
11
Some analytical properties of solutions of differential equations of noninteger order
... differential equations (see [4, 5, 11, ...and comparison theorems with the unique solution are very important for the nu- merical solution of differential equations (see [8] for fractional differential ... See full document
5
Differential inequalities and comparison theorems for first order hybrid integro-differential equations
... integro-differential equations lies in the fact that they include several classes of differential and integral equations as special ...hybrid differential equations is implicit ... See full document
20
Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations
... for third order problem of ordinary differential equations are generated in predictor-corrector mode of the same order of ...same order with the corrector method are obtained ... See full document
8
On Lyapunov type inequalities for fourth order linear differential equations
... higher order linear di¤erential equations which satisfy n-point boundary conditions, but as far as we know, there are fewer studies with regard four order di¤erential equations that the ... See full document
7
Oscillation results for third order nonlinear neutral differential equations of mixed type
... of third order differential equations, see for example [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], and the references cited ... See full document
12
A family of singular ordinary differential equations of the third order with an integral boundary condition
... for third order ordinary differential equations with singularly perturbed boundary value problems, which depend on a small positive parameter, see, for example [1–3], on third order ... See full document
11
Existence results for third order impulsive neutral differential equations with deviating arguments
... differential equations are a class of important models which describe many evo- lution processes that abruptly change their state at a certain ...differential equations has become an active area of ... See full document
17
On a class of third order neutral delay differential equations with piecewise constant argument
... In this paper we study existence, uniqueness and asymptotic stability the solutions of a class of third order neutral delay differential equations.. piecewise constant argument..[r] ... See full document
5
New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order
... have been investigated. However, much less work has been done for nonoscillation of all solutions of nonlinear functional differential equations. In this connection, Parhi 10 established some sufficient conditions ... See full document
11
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