p, q]-order [p, q]-type [p, q] index-pair [p, q] exponent of convergence of zero sequenceIn this paper, we firstly investigate the complex high order linear differential equations in which the coefficients are entire functions of [p, q]-order and obtain some results which improve and generalize some previous results in

Through thousands of years’ integration and development, phoenix totem has become one of the symbols representing unique oriental feature of China. Application of phoenix totem symbol in design is not only a reference for graphics, but also an extraction of traditional phoenix totem symbol, giving the rein to phoenix totem symbol in modern advertising design

In this paper, we consider the following third-order singular differential equation with variable coefficients: x + a(t)x = f (t, x) + e(t). By using the Green's function of the linear differential equation with constant coefficients and some fixed point theorems, i.e., Leray-Schauder alternative principle and Schauder's fixed point theorem, we prove the existence of positive periodic solutions of the above equation.

In this work, we are pleased to investigate multiple positive solutions for a system of Caputo fractional p-Laplacian boundary value problems, and we also provide an example for illustrating our main results.

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