Results 11 to 20 of about 103,871 (266)
Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law [PDF]
, 2017 We study the Cauchy problem for a semilinear stochastic Maxwell equation with Kerr-type nonlinearity and a retarded material law. We show existence and uniqueness of strong solutions using a refined Faedo-Galerkin method and spectral multiplier theorems ...
Hornung, Luca
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Discrete Dynamics in Nature and Society, 2013 Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic ...
Zhanrong Hu, Zhen Jin
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On minimal immersions in Finsler spaces [PDF]
, 2014 We explore a connection between the Finslerian area functional and well-investigated Cartan functionals to prove new Bernstein theorems, uniqueness and removability results for Finsler-minimal graphs, as well as enclosure theorems and isoperimetric ...
Overath, Patrick, von der Mosel, Heiko
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Lagrange stability of semilinear differential-algebraic equations and application to nonlinear electrical circuits [PDF]
, 2018 We study a semilinear differential-algebraic equation (DAE) with the focus on the Lagrange stability (instability). The conditions for the existence and uniqueness of global solutions (a solution exists on an infinite interval) of the Cauchy problem, as ...
Filipkovska, Maria
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Qualitative aspects of the quasistationary electromagnetic field [PDF]
Journal of Electrical and Electronics Engineering, 2009 The paper proposes some properties of theelectromagnetic field magnitudes so that theuniqueness and existence theorems may beformulated. The field equations are written asdistribution. The constitutive relation may be nonlinear.
Mircea ARION +4 more
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Abstract and Applied Analysis, 2013 We discuss the existence and uniqueness of solution for two types of fractional order ordinary and delay differential equations. Fixed point theorems are the main tool used here to establish the existence and uniqueness results.
Hadi Karami +2 more
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, 2002 Relativistic elasticity on an arbitrary spacetime is formulated as a Lagrangian field theory which is covariant under spacetime diffeomorphisms. This theory is the relativistic version of classical elasticity in the hyperelastic, materially frame ...
Ball J M +18 more
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Existence and Uniqueness Theorems for the Neutron Transport Equation [PDF]
Journal of Mathematical Physics, 1963 In an attempt to understand the conditions under which the neutron transport equation has solutions, and the properties of those solutions, a number of existence and uniqueness theorems are proved. One finds that the properties of the solution are closely related to the boundedness of the source as well as to certain velocity-space integrals of the ...
Case, K. M., Zweifel, Paul Frederick
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Existence and Uniqueness Theorem for Uncertain Wave Equation [PDF]
Symmetry, 2022 In the real world, the indeterminate phenomenon and determinate phenomenon are symmetric; however, the indeterminate phenomenon absolutely exists. Hence, the indeterminate dynamic phenomenon is studied in this paper by using uncertainty theory, where the indeterminate dynamic phenomenon is associated with the belief degree and called the uncertain ...
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A variational principle for cyclic polygons with prescribed edge lengths [PDF]
, 2016 We provide a new proof of the elementary geometric theorem on the existence and uniqueness of cyclic polygons with prescribed side lengths. The proof is based on a variational principle involving the central angles of the polygon as variables.
JM Schlenker +5 more
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