Existence Results for Non-instantaneous Impulsive Nonlinear Fractional Differential Equation Via Variational Methods
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00797-7
Abstract: In this article, we investigate a class of nonlinear fractional differential equations with non-instantaneous impulses. By means of critical point theory and variational methods, we prove that the existence and multiplicity of nontrivial solutions for… read more here.
Keywords: instantaneous impulsive; fractional differential; non instantaneous; nonlinear fractional ... See more keywords
A review of the variational methods for solving DC circuits
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DOI: 10.1088/1361-6404/ab0525
Abstract: Direct current (DC) circuits are usually taught in upper-level physics curricula, and Kirchhoff's laws are stated and used to solve the steady-state currents. However, students are not often introduced to alternative techniques, such as variational… read more here.
Keywords: review variational; variational principles; thermodynamics; variational methods ... See more keywords
Variational methods for breather solutions of nonlinear wave equations
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DOI: 10.1088/1361-6544/abed38
Abstract: We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation ∂ttU−ΔU=Q(x)|U|p−2UonT×RN with suitable N ⩾ 2, p > 2 and localized nonnegative Q. These solutions are obtained from critical points of a… read more here.
Keywords: solutions nonlinear; methods breather; variational methods; breather solutions ... See more keywords
lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods
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DOI: 10.1515/math-2017-0053
Abstract: Abstract Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results… read more here.
Keywords: dinger equations; fractional schr; variational methods; many solutions ... See more keywords