Geodesic
The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian
Annales Polonici Mathematici, Tome 75 (2000) no. 3, pp. 271-280

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We consider a boundary value problem for a differential equation with deviating arguments and p-Laplacian: $-(ϕ_{p}(x'))' + d/dt grad F(x) + g(t,x(t),x(δ(t))$, x'(t), x'(τ(t))) = 0, t ∈ [0,1]; $x(t)=\underline{φ}(t),$ t ≤ 0; $x(t) = \overline{φ}(t)$, t ≥ 1. An existence result is obtained with the help of the Leray-Schauder degree theory, with no restriction on the damping forces d/dt grad F(x).
DOI : 10.4064/ap-75-3-271-280
Keywords: a priori bounds, boundary value problems, existence theorems, differential equations with deviating arguments, Leray-Schauder degree, p-Laplacian

Bing Liu 1 ; Jianshe Yu 1

1 
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Bing Liu; Jianshe Yu. The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian. Annales Polonici Mathematici, Tome 75 (2000) no. 3, pp. 271-280. doi: 10.4064/ap-75-3-271-280

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