Three-point boundary value problems for second-order discrete equations
โ Scribed by R.P Agarwal; H.B Thompson; C.C Tisdell
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 473 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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๐ SIMILAR VOLUMES
We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u + f t u = 0 u 0 = 0 ฮฑu ฮท = u 1 , where ฮท 0 < ฮท < 1 0 < ฮฑ < 1/ฮท, and f 0 1 ร 0 โ โ 0 โ is continuous. We accomplish this by making growth assumptions on f which can apply to many
We establish the existence of positive solutions for the three-point boundary value problem u" + a(t)f(u) = o, u(0) = 0, u(1) -au(~) = b, where b, c~ > 0, r/ E (0, 1), a~? < 1, are given. Under suitable conditions, we show that there exists a positive number b\* such that the problem has at least on
In this paper, we study the existence of positive solutions of a singular three-point boundary value problem for the following second-order differential equation By constructing an available integral operator and combining fixed point index theory with properties of Green's function under some cond
we are concerned with the discrete right-focal boundary value problem A3z(t) = f(t, z(t + l)), z(ti) = Az(tz) = A2z(ts) = 0, and the eigenvalue problem A3z(t) = Xa(t)f(z(t + 1)) with the same boundary conditions, where tl < t2 < t3. Under various assumptions on f, a, and X, we prove the existence o