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Therefore, the study of rational difference equations of order greater than one is worth further consideration.
Many number and polynomial sequences can be generated by difference equations of order two.
Nonlinear difference equations of order greater than one are of paramount importance in applications.
Besides, either impulsive fractional semilinear equations of order 1 < q < 2 or impulsive fractional integro-differential equations of order 1 < q < 2 are studied by different authors (see, for instance, [44, 45]).
First we give a comparison theorem for certain delta fractional equations of order ν, (0
Equations of order up to and including the square of the thickness h2 are presented explicitly.
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On the other hand, v solves a differential equation of order k.
A multi-valued iterative functional equation of order n is considered.
Consider a general real nonlinear difference equation of order with the form.
We will refer to (1) in this paper as a classical polynomial functional equation of order n.
Substitution of nonlinear stress, strain, electrical displacement and material properties in equilibrium and Maxwell equations presents two nonlinear and non homogenous differential equation of order two.
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