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Article
Singular solutions to the \(\sigma _k\) -Yamabe equation with prescribed asymptotics
In this work, we explore the asymptotic behaviors of positive solutions to the \(\sigma _k\) ...
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Article
Open AccessBifurcation and exact solutions for the ( \(2+1\) )-dimensional conformable time-fractional Zoomeron equation
In this paper, the bifurcation and new exact solutions for the ( 2 + 1 \(2+1\) )-dimensional conformable time-fractional Zoomeron equation are investigated by utilizing two reliable methods, which are generalized...
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Article
Open AccessBlow-up of solutions to a viscoelastic parabolic equation with positive initial energy
In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prov...
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Article
Open AccessExistence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville type. By me...
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Article
Open AccessBoundary value problems for fractional q-difference equations with nonlocal conditions
In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fracti...
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Article
Open AccessCritical extinction exponents for a fast diffusion equation with nonlocal source and absorption
In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonloca...
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Article
Open AccessExistence of positive solutions of nonlinear fractional q-difference equation with parameter
In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative. By means of a fixed point theorem...
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Article
Open AccessOn the Smarandache-Pascal derived sequences and some of their conjectures
For any sequence { b ...
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Article
Open AccessSome estimate of character sums and its applications
The main purpose of this paper is using the elementary methods and the properties of Gauss sums to give a sharp estimate for some character sums. Then using this estimate to prove the existence of some special...
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Article
Open AccessA sum analogous to the high-dimensional Kloosterman sums and its upper bound estimate
The main purpose of this paper is, using the properties of Gauss sums and the estimate for the generalized exponential sums, to study the upper bound estimate problem of one kind sums analogous to the high-dim...
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Article
Open AccessOscillation of Even-Order Neutral Delay Differential Equations
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations ...
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Article
Open AccessExistence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales
We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation ...