Results 1 to 10 of about 101,432 (70)
Existence and uniqueness theorems for functional equations
Communications in Mathematics, 2023 In this paper we give simple extension and uniqueness theorems for restricted additive and logarithmic functional equations.
Glavosits, Tamás, Karácsony, Zsolt
openaire +4 more sources
Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments [PDF]
, 2011 In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments.
Guotao Wang +2 more
core +1 more source
user's guide to viscosity solutions of second order partial differential equations [PDF]
, 1992 The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be
Crandall, Michael G. +2 more
core +4 more sources
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
core +2 more sources
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
core +3 more sources
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
core +1 more source
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
openaire +2 more sources
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 ...
openaire +1 more source
, 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
core +4 more sources
Fixed point theorems for $\alpha$--contractive mappings of Meir--Keeler type and applications
, 2013 In this paper, we introduce the notion of $\alpha$--contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and iterative approximation of the fixed point for this type of ...
Berzig, Maher, Rus, Mircea-Dan
core +1 more source