Results 61 to 70 of about 216,704 (259)
Oscillation of nonlinear third order perturbed functional difference equations
This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference ...
Dinakar P. +2 more
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Linear Third-Order Difference Equations: Oscillatory and Asymptotic Behavior
A point of contact of the graph of \(U = \{U_ n\}\) satisfying (1) \(\Delta^ 3U_ n + P_{n+1}\Delta U_{n+2} + Q_ nU_{n+2} = 0\), with the real axis is a node. A solution of (1) is said to be oscillatory if it has arbitrarily large nodes. It is proved that (1) always has an oscillatory solution.
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This review provides an overview of bio‐based polymer sources, their unique functional properties and their environmental impact, and addresses their role as sustainable alternatives. It discusses end‐of‐life options, including composting and anaerobic digestion for renewable energy.
Sabina Kolbl Repinc +8 more
wiley +1 more source
Boundary value problems for wave equation with fractional time derivative are studied. А priori estimates for solution of boundary value problems of the first and third kind in differential form are obtained.
A. A. Alikhanov
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This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Disconjugacy for a third order linear difference equation
The third order linear difference equation (1) \(\Delta^ 3 y(t-1) + p(t) \Delta y(t) + q(t)y(t) = 0\) \((t \in \{a + 1, \dots, b + 1\})\) is considered. A function \(y : \{a, \dots, b + 3\} \to \mathbb{R}\) is said to have a generalized zero at \(a\) if \(y(a) = 0\) and it is said to have a generalized zero at \(t_ 0 > a\) provided either \(y(t_ 0) = 0\
Henderson, J., Peterson, A.
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ASYMPTOTIC DYNAMICS OF A CLASS OF THIRD ORDER RATIONAL DIFFERENCE EQUATIONS
The asymptotic dynamics of the classes of rational difference equations (RDEs) of third order defined over the positive real-line as $$\displaystyle{x_{n+1}=\frac{x_{n}}{ax_n+bx_{n-1}+cx_{n-2}}}, \displaystyle{x_{n+1}=\frac{x_{n-1}}{ax_n+bx_{n-1}+cx_{n-2}}}, \displaystyle{x_{n+1}=\frac{x_{n-2}}{ax_n+bx_{n-1}+cx_{n-2}}}$$ and $$\displaystyle{x_{n+1 ...
Hassan, Sk Sarif +3 more
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Oscillation and nonoscillation in nonlinear third order difference equations [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Smith, W. E. Taylor
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This study underscores the significant influence of frailty and vitality on the subjective health experience of older cancer survivors with acceptance and control emerging as salient mediators. These findings affirm the conceptual and empirical robustness of the model highlighting its potential utility in shaping future interventions for older cancer ...
Damien S. E. Broekharst +4 more
wiley +1 more source
Oscillation of third-order nonlinear delay difference equations
Third-order nonlinear difference equations of the form Δ(cnΔ(dnΔxn)) + pnΔxn+1 + qnf (xn−σ )= 0 ,n ≥ n0 are considered. Here, {cn} , {dn} , {pn} ,a nd{qn} are sequences of positive real numbers for n0 ∈ N, f is a continuous function such that f (u) /u ≥ K> 0f oru 0 .
Zafer, Agacik +2 more
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