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001476049 001__ 1476049
001476049 003__ OCoLC
001476049 005__ 20231003174630.0
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001476049 008__ 230819s2023\\\\sz\\\\\\o\\\\\000\0\eng\d
001476049 019__ $$a1394062593
001476049 020__ $$a9783031337048$$q(electronic bk.)
001476049 020__ $$a3031337042$$q(electronic bk.)
001476049 020__ $$z3031337034
001476049 020__ $$z9783031337031
001476049 0247_ $$a10.1007/978-3-031-33704-8$$2doi
001476049 035__ $$aSP(OCoLC)1394118649
001476049 040__ $$aEBLCP$$beng$$cEBLCP$$dYDX$$dGW5XE$$dEBLCP$$dOCLCQ
001476049 049__ $$aISEA
001476049 050_4 $$aQA431
001476049 08204 $$a515.75$$223/eng/20230825
001476049 24500 $$aStability of some advanced functional equations in various spaces /$$cHemen Dutta, Vediyappan Govindan, Choonkil Park, R. Vadivel.
001476049 260__ $$aCham :$$bSpringer,$$c2023.
001476049 300__ $$a1 online resource (260 p.).
001476049 4901_ $$aStudies in Systems, Decision and Control ;$$vv. 479
001476049 500__ $$a11.1 4-Dimensional Cubic Functional Equation
001476049 5050_ $$aIntro -- Preface -- Contents -- About the Authors -- 1 Functional Equations -- 1.1 Fundamentals of Functional Equation -- 1.2 Definition of Functional Equations -- 1.3 Solution of Functional Equations -- 1.4 Applications of Functional Equations -- 1.5 Stability of Functional Equations -- 1.6 Fixed Point Theory on Stability of Functional Equations -- 2 Additive Functional Equations -- 2.1 Additive Functional Equation -- 2.2 General Solution of Additive Functional Equation -- 2.3 Additive Functional Equation: Odd Case-Direct Method -- 2.4 Functional Equation: Odd Case-Fixed Point Method
001476049 5058_ $$a2.5 Examples -- 3 Additive Functional Equations in Banach Algebras -- 3.1 Banach Algebra-Additive Functional Equation -- 3.2 Additive Functional Equation: Odd Case-Direct Method -- 3.3 Additive Functional Equation: Odd Case-Fixed Point Method -- 4 n-Dimensional Additive Functional Equations in Random 2-Normed Spaces -- 4.1 n-Dimensional Additive Functional Equation -- 4.2 Solutions of n-Dimensional Additive Functional Equation -- 4.3 n-Dimensional Additive Functional Equation-Direct Method -- 4.4 n-Dimensional Additive Functional Equation-Fixed Point Method -- 5 Quadratic Functional Equations
001476049 5058_ $$a5.1 Quadratic Functional Equation -- 5.2 General Solution of Quadratic Functional Equation -- 5.3 Quadratic Functional Equation: Even Case-Direct Method -- 5.4 Stability Quadratic Functional Equation: Even Case-Fixed Point Method -- 5.5 Applications -- 6 Quadratic Functional Equations in Banach Algebras -- 6.1 Banach Algebra-Quadratic Functional Equation -- 6.2 Quadratic Functional Equation: Even Case-Direct Method -- 6.3 Quadratic Functional Equation: Even Case-Fixed Point Method -- 7 n-Dimensional Quadratic Functional Equations in Generalized 2-Normed Spaces
001476049 5058_ $$a7.1 n-Dimensional Quadratic Functional Equation -- 7.2 Solution of n-Dimensional Quadratic Functional Equation -- 8 Additive-Quadratic Functional Equations -- 8.1 Additive Quadratic Functional Equation -- 8.2 Additive Quadratic Functional Equation: Mixed Case-Direct Method -- 8.3 Additive Quadratic Functional Equation: Mixed Case-Fixed Point Method -- 9 Additive-Quadratic Functional Equations in Banach Algebras -- 9.1 Banach Algebra-Additive Quadratic Functional Equation -- 9.2 Additive Quadratic Functional Equation: Mixed Case-Direct Method
001476049 5058_ $$a9.3 Additive Quadratic Functional Equation: Mixed Case-Fixed Point Method -- 10 3-Dimensional Cubic Functional Equations -- 10.1 3-Dimensional Cubic Functional Equation -- 10.2 General Solution of 3-Dimensional Cubic Functional Equation -- 10.3 3-Dimensional Cubic Functional Equation-Direct Method -- 10.4 3-Dimensional Cubic Functional Equation-Fixed Point Method -- 10.5 Stability of 3-Dimensional Cubic Functional Equation-Direct Method -- 10.6 Stability of 3-Dimensional Cubic Functional Equation-Fixed Point Method -- 10.7 Examples -- 11 4-Dimensional Cubic Functional Equations
001476049 506__ $$aAccess limited to authorized users.
001476049 520__ $$aThe book aims to present several new results concerning solution and various stabilities of some functional equations in various spaces. The chapters consider various spaces to investigate stabilities justifying that stability results hold well in those spaces. It also includes results proving new insight to analyze approximate solutions to a given equation whenever uncertainty occurs. The presentation of the book should be useful for graduated students and researchers interested in the theory of functional equations to understand the useful ideas involved and problems to study further.
001476049 650_0 $$aFunctional equations.
001476049 655_0 $$aElectronic books.
001476049 7001_ $$aDutta, Hemen,$$d1981-
001476049 7001_ $$aGovindan, Vediyappan.
001476049 7001_ $$aPark, Choonkil.
001476049 7001_ $$aVadivel, R.
001476049 77608 $$iPrint version:$$aDutta, Hemen$$tStability of Some Advanced Functional Equations in Various Spaces$$dCham : Springer International Publishing AG,c2023$$z9783031337031
001476049 830_0 $$aStudies in systems, decision and control ;$$vv. 479.
001476049 852__ $$bebk
001476049 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-33704-8$$zOnline Access$$91397441.1
001476049 909CO $$ooai:library.usi.edu:1476049$$pGLOBAL_SET
001476049 980__ $$aBIB
001476049 980__ $$aEBOOK
001476049 982__ $$aEbook
001476049 983__ $$aOnline
001476049 994__ $$a92$$bISE