Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability
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DOI: 10.1007/s00009-020-01589-1
Abstract: In this paper, we consider a coupled system of two nonlinear hyperbolic equations with variable-exponents in the damping and source terms. Under suitable assumptions on the intial data and the variable exponents, we prove a… read more here.
Keywords: variable exponents; equations variable; hyperbolic equations; global existence ... See more keywords
Finite Element Method for Two-Sided Fractional Differential Equations with Variable Coefficients: Galerkin Approach
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DOI: 10.1007/s10915-018-0869-5
Abstract: This paper develops a Galerkin approach for two-sided fractional differential equations with variable coefficients. By the product rule, we transform the problem into an equivalent formulation which additionally introduces the fractional low-order term. We prove… read more here.
Keywords: two sided; galerkin approach; equations variable; sided fractional ... See more keywords
On Coercive Solvability of Parabolic Equations with Variable Operators
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DOI: 10.1007/s10958-019-04321-x
Abstract: AbstractIn a Banach space E, the Cauchy problem υ′t+Atυt=ft0≤t≤1,υ0=υ0,$$ \upsilon^{\prime }(t)+A(t)\upsilon (t)=f(t)\kern1em \left(0\le t\le 1\right),\kern1em \upsilon (0)={\upsilon}_0, $$ is considered for a differential equation with linear strongly positive operator A(t) such that its domain D… read more here.
Keywords: variable operators; coercive solvability; equations variable; solvability ... See more keywords
Comparison principle for difference equations with variable-time impulses
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DOI: 10.1142/s0217984918500136
Abstract: In this paper, a class of difference equations with variable-time impulses is considered. By applying comparison principle, we shall show that difference equations with variable-time impulse can be reduced to the corresponding difference equations with… read more here.
Keywords: difference equations; time impulses; equations variable; variable time ... See more keywords
Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients
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DOI: 10.1155/2021/9955023
Abstract: In this paper, the dynamical properties and the classification of single traveling wave solutions of the coupled nonlinear Schrödinger equations with variable coefficients are investigated by utilizing the bifurcation theory and the complete discrimination system… read more here.
Keywords: nonlinear schr; dinger equations; variable coefficients; equations variable ... See more keywords
Hyers–Ulam stability of linear fractional differential equations with variable coefficients
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DOI: 10.1186/s13662-020-02863-y
Abstract: Motivated by Shen et al., we apply the Gronwall’s inequality to establish the Hyers–Ulam stability of two types (Riemann–Liouville and Caputo) of linear fractional differential equations with variable coefficients under certain conditions. read more here.
Keywords: equations variable; linear fractional; fractional differential; differential equations ... See more keywords
On coupled Hadamard type sequential fractional differential equations with variable coefficients and nonlocal integral boundary conditions
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DOI: 10.2298/fil1719041a
Abstract: In this paper, we develop the existence criteria for the solutions of a system of Hadamard type sequential fractional differential equations with variable coefficients and nonlocal integral boundary conditions. The main results rely on the… read more here.
Keywords: type sequential; hadamard type; equations variable; fractional differential ... See more keywords
Boundary-Value Problem for Nonlinear Fractional Differential Equations of Variable Order with Finite Delay via Kuratowski Measure of Noncompactness
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DOI: 10.3390/axioms12010080
Abstract: This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays. The existence of solutions is first studied using a Darbo’s fixed-point theorem and the Kuratowski measure of… read more here.
Keywords: order; variable order; equations variable; fractional differential ... See more keywords
Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays
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DOI: 10.3390/e24091286
Abstract: In this paper, we study two types of second-order nonlinear differential equations with variable coefficients and mixed delays. Based on Krasnoselskii’s fixed point theorem, the existence results of positive periodic solution are established. It should… read more here.
Keywords: order nonlinear; nonlinear differential; equations variable; second order ... See more keywords