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Article
A new approach to the oscillation for the difference equations with several variable advanced arguments
In this paper, new oscillation criteria for second-order half-linear difference equations with several variable advanced arguments are obtained, which improve the existing results. Our approach is better than ...
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Article
Oscillation of Second-Order Half-Linear Neutral Advanced Differential Equations
The purpose of this paper is to study the oscillation of second-order half-linear neutral differential equations with advanced argument of the form ...
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Article
Oscillation of a Class of Third-Order Neutral Differential Equations with Noncanonical Operators
The aim of this paper is to complement existing oscillation results for third-order neutral advanced differential equations under the condition of ...
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Article
Existence and uniqueness of solutions for fractional q-difference Schrödinger equations
The aim of this paper is to investigate the existence and uniqueness of solutions for a class of fractional q-difference Schrödinger equations appeared in Li et al. (Appl Math Lett 46:100–105, 2015). By use of tw...
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Article
Philos-type oscillation criteria for impulsive fractional differential equations
In this paper, we study the oscillation of the impulsive Riemann–Liouville fractional differential equation $$\begin{aligned} {\left\{ \begin{array}{ll} [r(t)D_{ t_k^+}^\alpha x(t)]'+q(t)f\left( d+\int _{t_k^+}^t...
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Article
Open AccessThe distribution of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations
In this paper, the distributions of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations are studied. By means of inequality techniques, specific function se...
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Article
New oscillation criterion for Emden–Fowler type nonlinear neutral delay differential equations
In this paper, we consider the following Emden–Fowler type nonlinear neutral delay differential equations $$\begin{aligned} \left( r(t...
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Article
Oscillation of third-order nonlinear delay dynamic equation with dam** term on time scales
In this article, we consider the oscillation of a class of third-order nonlinear damped delay dynamic equation on time scales of the form ...
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Article
Open AccessOscillation of second order neutral dynamic equations with deviating arguments on time scales
In this paper, we consider the following second order neutral dynamic equations with deviating arguments on time scales: ...
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Article
Open AccessPositive solutions for integral boundary value problem of two-term fractional differential equations
In this paper, we investigate a class of nonlinear two-term fractional differential equations involving two fractional orders ...
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Article
Oscillation criteria for third order neutral Emden–Fowler delay dynamic equations on time scales
This paper is concern with a class of third-order neutral Emden–Fowler dynamic equation $$\begin{aligned} (a((rz^\Delta )^\Delta )^\al...
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Article
Hille and Nehari-Type Oscillation Criteria for Third-Order Emden–Fowler Neutral Delay Dynamic Equations
We establish some oscillation criteria for the third-order Emden–Fowler neutral delay dynamic equations of the form: $$\begin{aligned}...
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Article
On the oscillation for third-order nonlinear neutral delay dynamic equations on time scales
In this paper, we consider the third-order nonlinear neutral delay dynamic equations $$\begin{aligned} \left( b(t)\left( \left( ((x(t)...
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Article
Existence of solutions of boundary value problems for singular fractional q-difference equations
In this paper, we study the existence and uniqueness of solutions for a class of singular three-point boundary value problems of fractional q-difference equations invovling fractional q-derivative of Riemann–Liou...
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Article
Existence and uniqueness for a class of multi-term fractional differential equations
In this paper, we consider the initial value problem for the nonlinear fractional differential equations $$\begin{aligned} \left\{ \be...
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Article
Positive solutions for singular fractional differential equations with three-point boundary conditions
In this paper, we consider the nonlinear three-point boundary value problem of singular fractional differential equations $$\begin{ali...
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Article
The existence of solutions for boundary value problems of fractional differential inclusion with a parameter
In this paper, we study the Sturm–Liouville problem for a class of fractional differential inclusion. By constructing suitable Banach space, using Leray–Schauder fixed point theory and upper semicontinuous exp...
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Article
Interval Oscillation Criteria for Second-Order Damped Differential Equations with Mixed Nonlinearities
In this paper, we consider the interval oscillation criteria for second-order damped differential equations with mixed nonlinearities
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Article
Existence results for boundary value problems of fractional functional differential equations with delay
In this paper, we study boundary value problems of the following fractional functional differential equations involving the Caputo fractional derivative with delay
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Article
Anti-periodic boundary value problems for fractional \(q\) -difference equations
In this paper, we study the boundary value problem with anti-periodic boundary conditions involving the Caputo fractional \(q\) ...