MULTIPLE POSITIVE SOLUTIONS OF CONJUGATE BOUNDARY VALUE PROBLEMS ON TIME SCALES
نویسندگان
چکیده
منابع مشابه
Triple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian
In this paper, we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly. Our results ...
متن کاملExistence of solutions of boundary value problems for Caputo fractional differential equations on time scales
In this paper, we study the boundary-value problem of fractional order dynamic equations on time scales, $$ ^c{Delta}^{alpha}u(t)=f(t,u(t)),;;tin [0,1]_{mathbb{T}^{kappa^{2}}}:=J,;;1
متن کاملExistence of Multiple Positive Solutions to Three-Point Boundary Value Problems on Time Scales
We consider the three-point even order boundary value problem on time scales, (−1)y (2n) (t) = f(t, y(t)), t ∈ [a, c], αi+1y ∆(2i)(b) + βi+1y ∆(2i+1)(a) = y (2i) (a), γi+1y ∆(2i)(b) = y (2i) (σ(c)), 0 ≤ i ≤ n− 1, where n ≥ 1, a < b < σ(c), σ(c) is right-dense and f : [a, σ(c)] × R → R is continuous. First, we establish the existence of at least three positive solutions by using the well-known L...
متن کاملMultiple positive solutions for nonlinear three-point boundary value problems on time scales
gðð yðaÞ; yðs2ðbÞÞ; yðeÞ; ð yDðaÞ; yDðsðbÞÞÞÞ 1⁄4 ð0; 0Þ; a , e , s2ðbÞ; e [ T; ð2Þ where f : 1⁄2a; b £ R! R; g : R £ R £ R ! R are continuous, and t is from a so-called “time scale” T. It is assumed that the reader is familiar with the time scale calculus and associated definitions such as delta derivative, jump operators and right-dense continuity. If not, then we refer the reader to Ref. [2]...
متن کاملExistence of multiple solutions for Sturm-Liouville boundary value problems
In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2007
ISSN: 1027-5487
DOI: 10.11650/twjm/1500404700