Geodesic
Solutions of $p$-adic string equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 163-170

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We review several purely mathematical results concerning boundary value problems for nonlinear pseudodifferential equations for $p$-adic closed and open strings in the tree approximation in the case $d=1$. For the solutions of these problems, we present formulas establishing the relations between the numbers of their zeros, the multiplicities of the zeros, and the numbers indicating how many times the solutions change sign.
Keywords: $p$-adic string. 
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     author = {V. S. Vladimirov},
     title = {Solutions of $p$-adic string equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--170},
     publisher = {mathdoc},
     volume = {167},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a0/}
}
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V. S. Vladimirov. Solutions of $p$-adic string equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 163-170. http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a0/