Method of quasilinearization and positivity of solutions in abstract cones

DOI10.1007/BF00932860zbMath0337.34057MaRDI QIDQ1230019

D. D. Sety, Vangipuram Lakshmikantham, A. Richard Mitchell

Publication date: 1977

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Differential inequalities involving functions of a single real variable (34A40) Differential equations in abstract spaces (34G99)

Related Items

Extension of the method of quasilinearization in abstract cones

Cites Work

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• Differential equation s in abstract spaces
• FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING. V. POSITIVITY AND QUASI-LINEARITY
• Competitive Processes and Comparison Differential Systems
• Maximal and minimal solutions and comparison results for differential equations in abstract cones