AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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Rezumat articol ediţie STUDIA UNIVERSITATIS BABEŞ-BOLYAI În partea de jos este prezentat rezumatul articolului selectat. Pentru revenire la cuprinsul ediţiei din care face parte acest articol, se accesează linkul din titlu. Pentru vizualizarea tuturor articolelor din arhivă la care este autor/coautor unul din autorii de mai jos, se accesează linkul din numele autorului. |
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STUDIA MATHEMATICA - Ediţia nr.4 din 2021 | |||||||
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EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF BVPS IN BANACH SPACES. Autori: LYNA BENZENATI, SVETLIN GEORGIEV GEORGIEV, KARIMA MEBARKI. |
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Rezumat: DOI: 10.24193/subbmath. 2021.4.10 Published Online: 2021-12-14 Published Print: 2021-12-30 pp. 723-738 VIEW PDF FULL PDF In this work, we use index fixed point theory for perturbation of expansive mappings by l-set contractions to study the existence of bounded positive solutions for a class of two-point boundary value problem (BVP) associated to second-order nonlinear differential equation on the positive half-line. The nonlinearity, which may exhibit a singularity at the origin, is written as a sum of two functions which behave differently. These functions, depend on the solution and its derivative, take values in a general Banach space and have at most polynomial growth. An example to illustrate the main results is given. Keywords: Boundary value problem, Green''s function, unbounded interval, measure of noncompactness, fixed point index, sum operator. Mathematics Subject Classification (2010): 34B15, 34B18, 34B40, 47H08, 47H10. |
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