Geodesic
Qualitative theory of half-linear second order differential equations
Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 181-195

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Some recent results concerning properties of solutions of the half-linear second order differential equation \[ (r(t)\Phi (x^{\prime }))^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x):=|x|^{p-2}x,\quad p>1, \qquad \mathrm{{(*)}}\] are presented. A particular attention is paid to the oscillation theory of $(*)$. Related problems are also discussed.
Some recent results concerning properties of solutions of the half-linear second order differential equation \[ (r(t)\Phi (x^{\prime }))^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x):=|x|^{p-2}x,\quad p>1, \qquad \mathrm{{(*)}}\] are presented. A particular attention is paid to the oscillation theory of $(*)$. Related problems are also discussed.
DOI : 10.21136/MB.2002.134170
Classification : 34C10, 34C11, 34D05
Keywords: half-linear equation; Picone’s identity; scalar $p$-Laplacian; variational method; Riccati technique; principal solution 
Došlý, Ondřej. Qualitative theory of half-linear second order differential equations. Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 181-195. doi: 10.21136/MB.2002.134170
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