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Keywords: Positive solutions Third-order three-point BVPs Nonhomogeneous Fixed point theorem Existence and nonexistence a b s t r a c t In this work, by employing the Guo–Krasnosel'skii fixed point theorem and Schauder's fixed point theorem, we study the existence and nonexistence of positive solutions to the third-order three-point nonhomogeneous boundary(More)
Chemical fruit thinning has become a popular practice in modern fruit orchards for achieving high quality fruits, reducing costs of hand thinning and promoting return bloom. However, most of the suggested chemical thinners are often concerned for their detrimental effects and environmental problems. 5-Aminolevulic acid (ALA) is a natural, nontoxic,(More)
BACKGROUND The immunoscope spectratyping to TRBV CDR3 had been applied in infectious diseases, tumors, autoimmune diseases and so on, this study aimed to primarily explore CDR3 spectratyping and molecular features of TCR β chain in the peripheral blood and tissue of patients with colorectal carcinoma. METHODS Blood and tissue samples were collected from(More)
In this paper, we consider the second-order three-point boundary-value problem u (t) + f (t, u, u , u) = 0, 0 ≤ t ≤ 1, u(0) = u(1) = αu(η). Under suitable conditions and using Schauder fixed point theorem, we prove the existence of at least one symmetric positive solution. We also study the existence of positive eigenvalues for this problem. We emphasis the(More)
We consider classes of second order boundary value problems with a nonlinearity f (t, x) in the equations and subject to a multi-point boundary condition. Criteria are established for the existence of nontrivial solutions, positive solutions, and negative solutions of the problems under consideration. The symmetry of solutions is also studied. Conditions(More)
Recommended by Colin Rogers We study the second-order m-point boundary value problem u (t) + a(t) f (t,u(t)) = 0, 0 < t < 1, u(0) = u(1) = m−2 i=1 α i u(η i), where 0 < η 1 < η 2 < ··· < η m−2 ≤ 1/2, α i > 0 for i = 1,2,...,m − 2 with m−2 i=1 α i < 1,m ≥ 3. a : (0,1) → [0,∞) is continuous, symmetric on the interval (0,1), and maybe singular at t = 0 and t =(More)
In this paper, we study the existence of nontrivial symmetric solution for the second-order three-point boundary value problem for a function f W OE0; 1 R ! R which is continuous and f .t; / is symmetric on OE0; 1. We shall formulate conditions on f which guarantee the existence of nontrivial symmetric solution. As an application, we also give some(More)
BACKGROUND Aidi injection is an adjuvant chemotherapy drug commonly used in China. Can Aidi injection restore the cellular immunity and improve the clinical efficacy in non-small-cell lung cancer (NSCLC) patients treated with platinum-based chemotherapy? There is a lack of strong evidence to prove it. To further reveal it, we systematically evaluated all(More)
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