國立高雄大學圖資館 |

Language: English

Back

Nonlinear analysis and computational techniquesICNACT 2024, Bhopal, India, August 8-10 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear analysis and computational techniquesedited by Hemanta Kalita, Tomás Pérez Becerra, Kiran Kumar Behera.
Reminder of title:	ICNACT 2024, Bhopal, India, August 8-10 /
remainder title:	ICNACT 2024
other author:	Kalita, Hemanta.
corporate name:
Published:	Singapore :Springer Nature Singapore :2025.
Description:	x, 205 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear theoriesCongresses.
Online resource:	https://doi.org/10.1007/978-981-96-6038-4
ISBN:	9789819660384$q(electronic bk.)

Nonlinear analysis and computational techniquesICNACT 2024, Bhopal, India, August 8-10 /
Nonlinear analysis and computational techniquesICNACT 2024, Bhopal, India, August 8-10 /[electronic resource] :ICNACT 2024edited by Hemanta Kalita, Tomás Pérez Becerra, Kiran Kumar Behera. - Singapore :Springer Nature Singapore :2025. - x, 205 p. :ill. (some col.), digital ;24 cm. - Springer proceedings in mathematics & statistics,v. 5012194-1017 ;. - Springer proceedings in mathematics & statistics ;v.19..

Generalized Orlicz sequence space with Rao and Ren's norm -- Strongly λ-Summable Functions defined by Orlicz Functions -- Q- lacunary strong almost summability of weight ν -- New integral inequalities for weighted integrals and some fractional derivations -- Fractal Nonlinear Klein-Gordon Equation -- Survey on different near linear topological spaces -- Cayley Transform of operators on the Hilbert space -- Solvability of Hybrid Differential Equation in Hölder Space -- Exponential Stability of nonlinear water equations in a trapezoidal channel -- On Some Fixed Point Results of Banach Contraction Type in Controlled G-Metric Spaces -- Some common coupled fixed point theorems of integral type conditions for occasionally w-compatible mappings in S -metric spaces -- Fixed point theorems that are applicable to compatible mappings of type (P) in dynamic programming -- Impulsive fractal Sturm--Liouville equations.

This book contains proceedings of select chapters presented at the International Conference on Nonlinear Analysis & Computational Techniques (ICNACT-2024), held at VIT Bhopal University, Madhya Pradesh, India, from 8 to 10 August 2024. It discusses advances, emerging trends and theoretical developments in topics related to nonlinear analysis and computational techniques, including the introduction to new function spaces, such as a generalized Orlicz with Rao and Ren's norm, the s-Young space and the controlled G-metric spaces. The book explains some relationships among different types of near linear spaces and introduces the strongly λ-summable functions. Nonlinear systems frequently require convergence and fixed point theorems. In this sense, the concept of q-lacunary almost statistical convergence is exposed. The book proposes a common coupled fixed point theorems, a few fixed point theorems for compatible mappings of type P and some applications on dynamic programming. In differential equations, some works extend Ostrowski-type inequalities; solution of the fractal nonlinear Klein-Gordon equation, study of a hybrid differential equation and the problem of exponential stability of the nonlinear Saint-Venant equation, finally provides a study of some properties for Cayley transform of operators. The book is useful to researchers in mathematics and applied sciences, engineers, graduate students, computational scientists, software developers and educators. They will benefit from this theory, which is essential for efficiently solving complex equations via the understanding, modeling and solving nonlinear problems and their theoretical and practical domains.

ISBN: 9789819660384$q(electronic bk.)

Standard No.: 10.1007/978-981-96-6038-4doiSubjects--Topical Terms:

456612
Nonlinear theories
--Congresses.

LC Class. No.: QA427

Dewey Class. No.: 518.6

Nonlinear analysis and computational techniquesICNACT 2024, Bhopal, India, August 8-10 /
LDR:03792nmm a2200349 a 4500 001 686033
003 DE-He213
005 20250809130201.0
006 m d
007 cr nn 008maaau
008 260209s2025 si s 0 eng d
020 $a 9789819660384$q(electronic bk.)
020 $a 9789819660377$q(paper)
024 7 $a 10.1007/978-981-96-6038-4 $2 doi
035 $a 978-981-96-6038-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA427
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 518.6 $2 23
090 $a QA427 $b .I61 2024
111 2 $n (3rd : $d 1998 : $c Amsterdam, Netherlands) $3 194767
245 1 0 $a Nonlinear analysis and computational techniques $h [electronic resource] : $b ICNACT 2024, Bhopal, India, August 8-10 / $c edited by Hemanta Kalita, Tomás Pérez Becerra, Kiran Kumar Behera.
246 3 $a ICNACT 2024
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a x, 205 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer proceedings in mathematics & statistics, $x 2194-1017 ; $v v. 501
505 0 $a Generalized Orlicz sequence space with Rao and Ren's norm -- Strongly λ-Summable Functions defined by Orlicz Functions -- Q- lacunary strong almost summability of weight ν -- New integral inequalities for weighted integrals and some fractional derivations -- Fractal Nonlinear Klein-Gordon Equation -- Survey on different near linear topological spaces -- Cayley Transform of operators on the Hilbert space -- Solvability of Hybrid Differential Equation in Hölder Space -- Exponential Stability of nonlinear water equations in a trapezoidal channel -- On Some Fixed Point Results of Banach Contraction Type in Controlled G-Metric Spaces -- Some common coupled fixed point theorems of integral type conditions for occasionally w-compatible mappings in S -metric spaces -- Fixed point theorems that are applicable to compatible mappings of type (P) in dynamic programming -- Impulsive fractal Sturm--Liouville equations.
520 $a This book contains proceedings of select chapters presented at the International Conference on Nonlinear Analysis & Computational Techniques (ICNACT-2024), held at VIT Bhopal University, Madhya Pradesh, India, from 8 to 10 August 2024. It discusses advances, emerging trends and theoretical developments in topics related to nonlinear analysis and computational techniques, including the introduction to new function spaces, such as a generalized Orlicz with Rao and Ren's norm, the s-Young space and the controlled G-metric spaces. The book explains some relationships among different types of near linear spaces and introduces the strongly λ-summable functions. Nonlinear systems frequently require convergence and fixed point theorems. In this sense, the concept of q-lacunary almost statistical convergence is exposed. The book proposes a common coupled fixed point theorems, a few fixed point theorems for compatible mappings of type P and some applications on dynamic programming. In differential equations, some works extend Ostrowski-type inequalities; solution of the fractal nonlinear Klein-Gordon equation, study of a hybrid differential equation and the problem of exponential stability of the nonlinear Saint-Venant equation, finally provides a study of some properties for Cayley transform of operators. The book is useful to researchers in mathematics and applied sciences, engineers, graduate students, computational scientists, software developers and educators. They will benefit from this theory, which is essential for efficiently solving complex equations via the understanding, modeling and solving nonlinear problems and their theoretical and practical domains.
650 0 $a Nonlinear theories $v Congresses. $3 456612
650 1 4 $a Analysis. $3 273775
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 274020
700 1 $a Kalita, Hemanta. $3 1000142
700 1 $a Becerra, Tomás Pérez. $3 1000143
700 1 $a Behera, Kiran Kumar. $3 1000144
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer proceedings in mathematics & statistics ; $v v.19. $3 569116
856 4 0 $u https://doi.org/10.1007/978-981-96-6038-4
950 $a Mathematics and Statistics (SpringerNature-11649)