Abstract
In this paper, we discuss a kind of ϕ-Laplacian Rayleigh equation with strong singularity $$\bigl(\phi\bigl(u'(t)\bigr)\bigr)'+f \bigl(t,u'(t)\bigr)+g\bigl(u(t-\tau)\bigr)=e(t). $$ By application of the Manasevich-Mawhin continuation theorem, we obtain the existence of a positive periodic solution for this equation.
Highlights
In this paper, we discuss a kind of φ-Laplacian Rayleigh equation with strong singularity (φ(u (t))) + f (t, u (t)) + g(u(t – τ )) = e(t)
By application of the Manásevich-Mawhin continuation theorem, we obtain the existence of a positive periodic solution for this equation
1 Introduction In this paper, we investigate the following φ-Laplacian Rayleigh equation: φ u (t) + f t, u (t) + g u(t – τ ) = e(t), ( . )
Summary
Abstract In this paper, we discuss a kind of φ-Laplacian Rayleigh equation with strong singularity (φ(u (t))) + f (t, u (t)) + g(u(t – τ )) = e(t). By application of the Manásevich-Mawhin continuation theorem, we obtain the existence of a positive periodic solution for this equation. 1 Introduction In this paper, we investigate the following φ-Laplacian Rayleigh equation: φ u (t) + f t, u (t) + g u(t – τ ) = e(t),
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