19 papers
Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis
Dragos-Patru Covei
We examine a Riccati--Gamma approach to the logarithmic derivative of the completed Riemann zeta function. The first part proves, in full local detail, that a naive two-sided verti…
Asymptotic Plateaus for Generalized Abel Equations with Financial Applications
Dragos-Patru Covei
We develop a unified analytical and computational framework for the generalized Abel ordinary differential equation $y^{\prime }(x)=a_n(x)\bigl(% y^n+λ_{n-1}(x)y^{n-1}+\dots+λ_0(…
Riccati--Gamma Dynamics for Concavity and Asymptotics of Generalized Dirichlet Eta Functions
Dragos-Patru Covei
We develop a unified analytical and dynamical framework for the qualitative study of the one-parameter family of generalized Dirichlet eta functions $η_{a}(t)=\sum_{m\ge0}(-1)^{m}…
Optimal Production Planning Under Macroeconomic Regime Switches
Dragos-Patru Covei
We develop a comprehensive mathematical and computational framework for optimal production planning in economies governed by stochastic regime switches driven by a continuous-time…
The Triality of Radial Nonlinear Dynamics: Analysis of Riccati, Schrödinger, and Hamilton--Jacobi--Bellman Equations
Dragos-Patru Covei
This study develops a unified mathematical framework for the analysis of radial differential equations, revealing a fundamental connection between three distinct classes of problem…
Existence, Sharp Boundary Asymptotics, and Stochastic Optimal Control for Semilinear Elliptic Equations with Gradient-Dependent Terms and Singular Weights: Theory, Economic Applications, and Numerical Simulations
Dragos-Patru Covei
We develop a unified framework for semilinear elliptic equations with gradient-dependent nonlinearities and singular weights in strictly convex domains. Considering large solutions…