The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian

• Autorzy: Bing Liu , Jianshe Yu
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

a priori bounds; boundary value problems; existence theorems; differential equations with deviating arguments; Leray-Schauder degree; p-Laplacian

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 75
• Numer: 3
• Strony: 271-280

Daty

wydano

2000

otrzymano

2000-04-27

Twórcy

autor

Bing Liu

• Department of Applied Mathematics, Hunan University, Changsha 410082, People's Republic of China

autor

Jianshe Yu

• Department of Applied Mathematics, Hunan University, Changsha 410082, People's Republic of China

Bibliografia

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• [3] B. Liu and J. S. Yu, Note on a third order boundary value problem for differential equations with deviating arguments, preprint.
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