Results 111 to 120 of about 446,471 (361)
General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors
Abstract and Applied Analysis, 2012 Based on the studies on the Hyers-Ulam stability and the orthogonal stability of some Pexider-quadratic functional equations, in this paper we find the general solutions of two quadratic functional equations of Pexider type. Both equations are studied in
Margherita Fochi
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ON THE SOLUTION AND STABILITY OF THE QUADRATIC TYPE FUNCTIONAL EQUATIONS [PDF]
Communications of the Korean Mathematical Society, 2004 Summary: We prove the solution and stability of the quadratic type functional equations with two variables \[ 4f(\frac{x-2y}{2})+f(x)+2f(y)=8f(\frac{x-y}{2})+f(2y) \] and \[ f(x-2y) + f(x)+2f(y)=2f(x-y)+f(2y). \]
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A Computational Journey Toward an Optimal Design for Metamaterial Epicardial Passive Sleeves
Advanced Healthcare Materials, EarlyView.Passive epicardial sleeves are evaluated in 3D in‐silico heart models to reveal how sleeve geometry, stiffness, anisotropy, and metamaterial architecture influence cardiac mechanics after myocardial infarction. A continuum‐to‐auxetic design exploration shows that region‐specific mechanical engagement can reduce infarct bulging and modulate torsional ...
Vahid Naeini +8 more
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Abstract and Applied Analysis, 2011 We investigate the stability and superstability of ternary quadratic higher derivations in non-Archimedean ternary algebras by using a version of fixed point theorem via quadratic functional equation.
M. Eshaghi Gordji +3 more
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Approximate functional equation for Hecke's L-functions of quadratic field [PDF]
, 1969 E. Fogels
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Advanced Healthcare Materials, EarlyView.Polymer‐based drug delivery systems can effectively overcome the limitations of free drugs in terms of solubility, stability, and plasma half‐life, yet their development has traditionally relied on time‐consuming trial‐and‐error approaches. This review highlights recent advances in applying molecular simulation to the design of polymer‐based drug ...
Ping Gao +4 more
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On the Control of a Linear Functional-Differential Equation with Quadratic Cost [PDF]
, 1970 Harold J. Kushner, Daniel I. Barnea
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ON THE STABILITY OF SOME QUADRATIC FUNCTIONAL EQUATION [PDF]
Journal of Nonlinear Sciences and Applications, 2011 In this paper we establish the general solution of the functional equation which is closely associated with the quadratic functional equation and we investigate the Hyers-Ulam-Rassias stability of this equation in Banach spaces.
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THz‐Driven Coherent Phonon Fingerprints of Hidden Symmetry Breaking in 2D Layered Hybrid Perovskites
Advanced Materials, EarlyView.Intense THz pulses are employed to drive coherent phonons in 2D Ruddlesden‐Popper hybrid metal‐halide perovskites (HOIPs) from the (PEA)2(MA)n‐1PbnI3n+1 family, revealing mode‐selective spectroscopic signatures of inversion symmetry breaking in those nominally centrosymmetric materials. These findings provide a handle to decode nonlinear phonon driving
Joanna M. Urban +14 more
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Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
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